Final_Project_GroupC

0). Preamble: Loading Packages and Data; Data Preperation

a). Load Packages

library(tidyverse)

## Warning: package 'tidyverse' was built under R version 4.0.4

library(ggplot2)
library(ggcorrplot)
library(knitr)   # contains kable() function
library(partykit)

## Warning: package 'partykit' was built under R version 4.0.4

## Warning: package 'libcoin' was built under R version 4.0.4

library(caret)
library(rpart)
library(randomForest)

## Warning: package 'randomForest' was built under R version 4.0.4

library(pROC)
library(leaps)
library(glmnet)
library(gbm)

## Warning: package 'gbm' was built under R version 4.0.4

library(gam)
library(splines)
library(plyr)
set.seed(95791)

b). Import and Initial Data Prep

Be sure to set working directory to source file location

#bring in housing data
housing <- read.csv(file = "AmesHousing.csv", header = TRUE)

c). Preparing Dataset for Analysis

i). Removing NA values from dataset

if (sum(is.na(housing)) >0) {
  DNE.Cols = c(74,75,76,32,33,34,35,37,8,59,65,66,62,60,29,30)
  zero.Cols = c(3, 5, 49,50,61,63,64,28)
  zero.Cols.alt = c(36,38,39,40) #These are all from one record (1342). Maybe just omit the record?
  catchall.cols = seq(1, 82, by=1)
  
  for (i in DNE.Cols){
    housing[[i]][is.na(housing[[i]]) | housing[[i]] == ""] = "DNE" # These are stored as "", not NA, so it's not picking them up
  }
  
  for (i in zero.Cols){
    housing[[i]][is.na(housing[[i]])] = 0
  }
  
  for (i in zero.Cols.alt){
    housing[[i]][is.na(housing[[i]])] = 0
  }

  sum(is.na(housing))  #Verify NAs are removed
}

## [1] 0

ii). Verify absences of NA values

NA.Cols.Check = tryCatch( sum(is.na(housing))==0,
                error = list(errormessage = print("Error: Manually Adding Cols"),
                        colerrors = print(housing[, colSums(is.na(housing)) > 0]),
                        rowerrors = print(housing[rowSums(is.na(housing)) > 0,])))

## [1] "Error: Manually Adding Cols"
## data frame with 0 columns and 2930 rows
##  [1] ï..Order        PID             MS.SubClass     MS.Zoning      
##  [5] Lot.Frontage    Lot.Area        Street          Alley          
##  [9] Lot.Shape       Land.Contour    Utilities       Lot.Config     
## [13] Land.Slope      Neighborhood    Condition.1     Condition.2    
## [17] Bldg.Type       House.Style     Overall.Qual    Overall.Cond   
## [21] Year.Built      Year.Remod.Add  Roof.Style      Roof.Matl      
## [25] Exterior.1st    Exterior.2nd    Mas.Vnr.Type    Mas.Vnr.Area   
## [29] Exter.Qual      Exter.Cond      Foundation      Bsmt.Qual      
## [33] Bsmt.Cond       Bsmt.Exposure   BsmtFin.Type.1  BsmtFin.SF.1   
## [37] BsmtFin.Type.2  BsmtFin.SF.2    Bsmt.Unf.SF     Total.Bsmt.SF  
## [41] Heating         Heating.QC      Central.Air     Electrical     
## [45] X1st.Flr.SF     X2nd.Flr.SF     Low.Qual.Fin.SF Gr.Liv.Area    
## [49] Bsmt.Full.Bath  Bsmt.Half.Bath  Full.Bath       Half.Bath      
## [53] Bedroom.AbvGr   Kitchen.AbvGr   Kitchen.Qual    TotRms.AbvGrd  
## [57] Functional      Fireplaces      Fireplace.Qu    Garage.Type    
## [61] Garage.Yr.Blt   Garage.Finish   Garage.Cars     Garage.Area    
## [65] Garage.Qual     Garage.Cond     Paved.Drive     Wood.Deck.SF   
## [69] Open.Porch.SF   Enclosed.Porch  X3Ssn.Porch     Screen.Porch   
## [73] Pool.Area       Pool.QC         Fence           Misc.Feature   
## [77] Misc.Val        Mo.Sold         Yr.Sold         Sale.Type      
## [81] Sale.Condition  SalePrice      
## <0 rows> (or 0-length row.names)

iii). Factors reorder

housing.factors <- housing

housing.factors$Exter.Cond <- factor(housing.factors$Exter.Cond, levels = c('DNE', 'Po', 'Fa', 'TA', 'Gd', 'Ex'))
housing.factors$Exter.Qual <- factor(housing.factors$Exter.Qual, levels = c('DNE', 'Po', 'Fa', 'TA', 'Gd', 'Ex')) 
housing.factors$Bsmt.Qual <- factor(housing.factors$Bsmt.Qual, levels = c('DNE', 'Po', 'Fa', 'TA', 'Gd', 'Ex'))
housing.factors$Bsmt.Cond <- factor(housing.factors$Bsmt.Cond, levels = c('DNE', 'Po', 'Fa', 'TA', 'Gd', 'Ex'))
housing.factors$Kitchen.Qual <- factor(housing.factors$Kitchen.Qual, levels = c('DNE', 'Po', 'Fa', 'TA', 'Gd', 'Ex'))
housing.factors$Fireplace.Qu <- factor(housing.factors$Fireplace.Qu, levels = c('DNE', 'Po', 'Fa', 'TA', 'Gd', 'Ex'))
housing.factors$Garage.Cond <- factor(housing.factors$Garage.Cond, levels = c('DNE', 'Po', 'Fa', 'TA', 'Gd', 'Ex'))
housing.factors$Garage.Qual <- factor(housing.factors$Garage.Qual, levels = c('DNE', 'Po', 'Fa', 'TA', 'Gd', 'Ex'))
housing.factors$Pool.QC <- factor(housing.factors$Pool.QC, levels = c('DNE', 'Po', 'Fa', 'TA', 'Gd', 'Ex'))
housing.factors$Heating.QC <- factor(housing.factors$Heating.QC, levels = c('DNE', 'Po', 'Fa', 'TA', 'Gd', 'Ex'))
housing.factors$BsmtFin.Type.1 <- factor(housing.factors$BsmtFin.Type.1, levels = c('DNE', 'Unf', 'LwQ', 'Rec', 'BLQ', 'ALQ', 'GLQ'))
housing.factors$BsmtFin.Type.2 <- factor(housing.factors$BsmtFin.Type.2, levels = c('DNE', 'Unf', 'LwQ', 'Rec', 'BLQ', 'ALQ', 'GLQ'))
housing.factors$MS.SubClass <- factor(housing.factors$MS.SubClass , levels = c(20, 30, 40, 45, 50, 60, 70, 75, 80, 85, 90, 120, 150, 160, 180, 190))

# Print any columns with missing values
for(v in names(housing.factors)) {
  n_na = sum(is.na(housing.factors[v]))
  if(n_na > 0) {print(v); print(n_na)}
}

1. Exploratory Data Analysis

a). General Trends in Sales Prices Across Time, Neighbourhood, and Home Characteristics

col.vector = seq(2, 81, by=1) #We do not need the iOrder or PID value


numeric.df <-housing[unlist(lapply(housing, is.numeric)) ]
numeric.cols <- numeric.df[,-1:-2]
numeric.cols.vec <- seq(1, ncol(numeric.cols)-1)
for (i in numeric.cols.vec){
  plots<- qplot(data = housing, x = numeric.cols[,i], y = SalePrice,
        xlab = paste(colnames(numeric.cols)[i]) , ylab = "SalePrice") + stat_smooth(method = "lm")
  print(plots)
  
}

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

## `geom_smooth()` using formula 'y ~ x'

b). Correlation Plot

cor.housing.sales <- cor(numeric.df[,-1:-2])
ggcorrplot(cor.housing.sales)

(cor.housing.sales > 0.5 | cor.housing.sales < -0.5) & cor.housing.sales != 1

##                 MS.SubClass Lot.Frontage Lot.Area Overall.Qual Overall.Cond
## MS.SubClass           FALSE        FALSE    FALSE        FALSE        FALSE
## Lot.Frontage          FALSE        FALSE    FALSE        FALSE        FALSE
## Lot.Area              FALSE        FALSE    FALSE        FALSE        FALSE
## Overall.Qual          FALSE        FALSE    FALSE        FALSE        FALSE
## Overall.Cond          FALSE        FALSE    FALSE        FALSE        FALSE
## Year.Built            FALSE        FALSE    FALSE         TRUE        FALSE
## Year.Remod.Add        FALSE        FALSE    FALSE         TRUE        FALSE
## Mas.Vnr.Area          FALSE        FALSE    FALSE        FALSE        FALSE
## BsmtFin.SF.1          FALSE        FALSE    FALSE        FALSE        FALSE
## BsmtFin.SF.2          FALSE        FALSE    FALSE        FALSE        FALSE
## Bsmt.Unf.SF           FALSE        FALSE    FALSE        FALSE        FALSE
## Total.Bsmt.SF         FALSE        FALSE    FALSE         TRUE        FALSE
## X1st.Flr.SF           FALSE        FALSE    FALSE        FALSE        FALSE
## X2nd.Flr.SF           FALSE        FALSE    FALSE        FALSE        FALSE
## Low.Qual.Fin.SF       FALSE        FALSE    FALSE        FALSE        FALSE
## Gr.Liv.Area           FALSE        FALSE    FALSE         TRUE        FALSE
## Bsmt.Full.Bath        FALSE        FALSE    FALSE        FALSE        FALSE
## Bsmt.Half.Bath        FALSE        FALSE    FALSE        FALSE        FALSE
## Full.Bath             FALSE        FALSE    FALSE         TRUE        FALSE
## Half.Bath             FALSE        FALSE    FALSE        FALSE        FALSE
## Bedroom.AbvGr         FALSE        FALSE    FALSE        FALSE        FALSE
## Kitchen.AbvGr         FALSE        FALSE    FALSE        FALSE        FALSE
## TotRms.AbvGrd         FALSE        FALSE    FALSE        FALSE        FALSE
## Fireplaces            FALSE        FALSE    FALSE        FALSE        FALSE
## Garage.Yr.Blt         FALSE        FALSE    FALSE        FALSE        FALSE
## Garage.Cars           FALSE        FALSE    FALSE         TRUE        FALSE
## Garage.Area           FALSE        FALSE    FALSE         TRUE        FALSE
## Wood.Deck.SF          FALSE        FALSE    FALSE        FALSE        FALSE
## Open.Porch.SF         FALSE        FALSE    FALSE        FALSE        FALSE
## Enclosed.Porch        FALSE        FALSE    FALSE        FALSE        FALSE
## X3Ssn.Porch           FALSE        FALSE    FALSE        FALSE        FALSE
## Screen.Porch          FALSE        FALSE    FALSE        FALSE        FALSE
## Pool.Area             FALSE        FALSE    FALSE        FALSE        FALSE
## Misc.Val              FALSE        FALSE    FALSE        FALSE        FALSE
## Mo.Sold               FALSE        FALSE    FALSE        FALSE        FALSE
## Yr.Sold               FALSE        FALSE    FALSE        FALSE        FALSE
## SalePrice             FALSE        FALSE    FALSE         TRUE        FALSE
##                 Year.Built Year.Remod.Add Mas.Vnr.Area BsmtFin.SF.1
## MS.SubClass          FALSE          FALSE        FALSE        FALSE
## Lot.Frontage         FALSE          FALSE        FALSE        FALSE
## Lot.Area             FALSE          FALSE        FALSE        FALSE
## Overall.Qual          TRUE           TRUE        FALSE        FALSE
## Overall.Cond         FALSE          FALSE        FALSE        FALSE
## Year.Built           FALSE           TRUE        FALSE        FALSE
## Year.Remod.Add        TRUE          FALSE        FALSE        FALSE
## Mas.Vnr.Area         FALSE          FALSE        FALSE        FALSE
## BsmtFin.SF.1         FALSE          FALSE        FALSE        FALSE
## BsmtFin.SF.2         FALSE          FALSE        FALSE        FALSE
## Bsmt.Unf.SF          FALSE          FALSE        FALSE        FALSE
## Total.Bsmt.SF        FALSE          FALSE        FALSE         TRUE
## X1st.Flr.SF          FALSE          FALSE        FALSE        FALSE
## X2nd.Flr.SF          FALSE          FALSE        FALSE        FALSE
## Low.Qual.Fin.SF      FALSE          FALSE        FALSE        FALSE
## Gr.Liv.Area          FALSE          FALSE        FALSE        FALSE
## Bsmt.Full.Bath       FALSE          FALSE        FALSE         TRUE
## Bsmt.Half.Bath       FALSE          FALSE        FALSE        FALSE
## Full.Bath            FALSE          FALSE        FALSE        FALSE
## Half.Bath            FALSE          FALSE        FALSE        FALSE
## Bedroom.AbvGr        FALSE          FALSE        FALSE        FALSE
## Kitchen.AbvGr        FALSE          FALSE        FALSE        FALSE
## TotRms.AbvGrd        FALSE          FALSE        FALSE        FALSE
## Fireplaces           FALSE          FALSE        FALSE        FALSE
## Garage.Yr.Blt        FALSE          FALSE        FALSE        FALSE
## Garage.Cars           TRUE          FALSE        FALSE        FALSE
## Garage.Area          FALSE          FALSE        FALSE        FALSE
## Wood.Deck.SF         FALSE          FALSE        FALSE        FALSE
## Open.Porch.SF        FALSE          FALSE        FALSE        FALSE
## Enclosed.Porch       FALSE          FALSE        FALSE        FALSE
## X3Ssn.Porch          FALSE          FALSE        FALSE        FALSE
## Screen.Porch         FALSE          FALSE        FALSE        FALSE
## Pool.Area            FALSE          FALSE        FALSE        FALSE
## Misc.Val             FALSE          FALSE        FALSE        FALSE
## Mo.Sold              FALSE          FALSE        FALSE        FALSE
## Yr.Sold              FALSE          FALSE        FALSE        FALSE
## SalePrice             TRUE           TRUE         TRUE        FALSE
##                 BsmtFin.SF.2 Bsmt.Unf.SF Total.Bsmt.SF X1st.Flr.SF X2nd.Flr.SF
## MS.SubClass            FALSE       FALSE         FALSE       FALSE       FALSE
## Lot.Frontage           FALSE       FALSE         FALSE       FALSE       FALSE
## Lot.Area               FALSE       FALSE         FALSE       FALSE       FALSE
## Overall.Qual           FALSE       FALSE          TRUE       FALSE       FALSE
## Overall.Cond           FALSE       FALSE         FALSE       FALSE       FALSE
## Year.Built             FALSE       FALSE         FALSE       FALSE       FALSE
## Year.Remod.Add         FALSE       FALSE         FALSE       FALSE       FALSE
## Mas.Vnr.Area           FALSE       FALSE         FALSE       FALSE       FALSE
## BsmtFin.SF.1           FALSE       FALSE          TRUE       FALSE       FALSE
## BsmtFin.SF.2           FALSE       FALSE         FALSE       FALSE       FALSE
## Bsmt.Unf.SF            FALSE       FALSE         FALSE       FALSE       FALSE
## Total.Bsmt.SF          FALSE       FALSE         FALSE        TRUE       FALSE
## X1st.Flr.SF            FALSE       FALSE          TRUE       FALSE       FALSE
## X2nd.Flr.SF            FALSE       FALSE         FALSE       FALSE       FALSE
## Low.Qual.Fin.SF        FALSE       FALSE         FALSE       FALSE       FALSE
## Gr.Liv.Area            FALSE       FALSE         FALSE        TRUE        TRUE
## Bsmt.Full.Bath         FALSE       FALSE         FALSE       FALSE       FALSE
## Bsmt.Half.Bath         FALSE       FALSE         FALSE       FALSE       FALSE
## Full.Bath              FALSE       FALSE         FALSE       FALSE       FALSE
## Half.Bath              FALSE       FALSE         FALSE       FALSE        TRUE
## Bedroom.AbvGr          FALSE       FALSE         FALSE       FALSE        TRUE
## Kitchen.AbvGr          FALSE       FALSE         FALSE       FALSE       FALSE
## TotRms.AbvGrd          FALSE       FALSE         FALSE       FALSE        TRUE
## Fireplaces             FALSE       FALSE         FALSE       FALSE       FALSE
## Garage.Yr.Blt          FALSE       FALSE         FALSE       FALSE       FALSE
## Garage.Cars            FALSE       FALSE         FALSE       FALSE       FALSE
## Garage.Area            FALSE       FALSE         FALSE       FALSE       FALSE
## Wood.Deck.SF           FALSE       FALSE         FALSE       FALSE       FALSE
## Open.Porch.SF          FALSE       FALSE         FALSE       FALSE       FALSE
## Enclosed.Porch         FALSE       FALSE         FALSE       FALSE       FALSE
## X3Ssn.Porch            FALSE       FALSE         FALSE       FALSE       FALSE
## Screen.Porch           FALSE       FALSE         FALSE       FALSE       FALSE
## Pool.Area              FALSE       FALSE         FALSE       FALSE       FALSE
## Misc.Val               FALSE       FALSE         FALSE       FALSE       FALSE
## Mo.Sold                FALSE       FALSE         FALSE       FALSE       FALSE
## Yr.Sold                FALSE       FALSE         FALSE       FALSE       FALSE
## SalePrice              FALSE       FALSE          TRUE        TRUE       FALSE
##                 Low.Qual.Fin.SF Gr.Liv.Area Bsmt.Full.Bath Bsmt.Half.Bath
## MS.SubClass               FALSE       FALSE          FALSE          FALSE
## Lot.Frontage              FALSE       FALSE          FALSE          FALSE
## Lot.Area                  FALSE       FALSE          FALSE          FALSE
## Overall.Qual              FALSE        TRUE          FALSE          FALSE
## Overall.Cond              FALSE       FALSE          FALSE          FALSE
## Year.Built                FALSE       FALSE          FALSE          FALSE
## Year.Remod.Add            FALSE       FALSE          FALSE          FALSE
## Mas.Vnr.Area              FALSE       FALSE          FALSE          FALSE
## BsmtFin.SF.1              FALSE       FALSE           TRUE          FALSE
## BsmtFin.SF.2              FALSE       FALSE          FALSE          FALSE
## Bsmt.Unf.SF               FALSE       FALSE          FALSE          FALSE
## Total.Bsmt.SF             FALSE       FALSE          FALSE          FALSE
## X1st.Flr.SF               FALSE        TRUE          FALSE          FALSE
## X2nd.Flr.SF               FALSE        TRUE          FALSE          FALSE
## Low.Qual.Fin.SF           FALSE       FALSE          FALSE          FALSE
## Gr.Liv.Area               FALSE       FALSE          FALSE          FALSE
## Bsmt.Full.Bath            FALSE       FALSE          FALSE          FALSE
## Bsmt.Half.Bath            FALSE       FALSE          FALSE          FALSE
## Full.Bath                 FALSE        TRUE          FALSE          FALSE
## Half.Bath                 FALSE       FALSE          FALSE          FALSE
## Bedroom.AbvGr             FALSE        TRUE          FALSE          FALSE
## Kitchen.AbvGr             FALSE       FALSE          FALSE          FALSE
## TotRms.AbvGrd             FALSE        TRUE          FALSE          FALSE
## Fireplaces                FALSE       FALSE          FALSE          FALSE
## Garage.Yr.Blt             FALSE       FALSE          FALSE          FALSE
## Garage.Cars               FALSE       FALSE          FALSE          FALSE
## Garage.Area               FALSE       FALSE          FALSE          FALSE
## Wood.Deck.SF              FALSE       FALSE          FALSE          FALSE
## Open.Porch.SF             FALSE       FALSE          FALSE          FALSE
## Enclosed.Porch            FALSE       FALSE          FALSE          FALSE
## X3Ssn.Porch               FALSE       FALSE          FALSE          FALSE
## Screen.Porch              FALSE       FALSE          FALSE          FALSE
## Pool.Area                 FALSE       FALSE          FALSE          FALSE
## Misc.Val                  FALSE       FALSE          FALSE          FALSE
## Mo.Sold                   FALSE       FALSE          FALSE          FALSE
## Yr.Sold                   FALSE       FALSE          FALSE          FALSE
## SalePrice                 FALSE        TRUE          FALSE          FALSE
##                 Full.Bath Half.Bath Bedroom.AbvGr Kitchen.AbvGr TotRms.AbvGrd
## MS.SubClass         FALSE     FALSE         FALSE         FALSE         FALSE
## Lot.Frontage        FALSE     FALSE         FALSE         FALSE         FALSE
## Lot.Area            FALSE     FALSE         FALSE         FALSE         FALSE
## Overall.Qual         TRUE     FALSE         FALSE         FALSE         FALSE
## Overall.Cond        FALSE     FALSE         FALSE         FALSE         FALSE
## Year.Built          FALSE     FALSE         FALSE         FALSE         FALSE
## Year.Remod.Add      FALSE     FALSE         FALSE         FALSE         FALSE
## Mas.Vnr.Area        FALSE     FALSE         FALSE         FALSE         FALSE
## BsmtFin.SF.1        FALSE     FALSE         FALSE         FALSE         FALSE
## BsmtFin.SF.2        FALSE     FALSE         FALSE         FALSE         FALSE
## Bsmt.Unf.SF         FALSE     FALSE         FALSE         FALSE         FALSE
## Total.Bsmt.SF       FALSE     FALSE         FALSE         FALSE         FALSE
## X1st.Flr.SF         FALSE     FALSE         FALSE         FALSE         FALSE
## X2nd.Flr.SF         FALSE      TRUE          TRUE         FALSE          TRUE
## Low.Qual.Fin.SF     FALSE     FALSE         FALSE         FALSE         FALSE
## Gr.Liv.Area          TRUE     FALSE          TRUE         FALSE          TRUE
## Bsmt.Full.Bath      FALSE     FALSE         FALSE         FALSE         FALSE
## Bsmt.Half.Bath      FALSE     FALSE         FALSE         FALSE         FALSE
## Full.Bath           FALSE     FALSE         FALSE         FALSE          TRUE
## Half.Bath           FALSE     FALSE         FALSE         FALSE         FALSE
## Bedroom.AbvGr       FALSE     FALSE         FALSE         FALSE          TRUE
## Kitchen.AbvGr       FALSE     FALSE         FALSE         FALSE         FALSE
## TotRms.AbvGrd        TRUE     FALSE          TRUE         FALSE         FALSE
## Fireplaces          FALSE     FALSE         FALSE         FALSE         FALSE
## Garage.Yr.Blt       FALSE     FALSE         FALSE         FALSE         FALSE
## Garage.Cars         FALSE     FALSE         FALSE         FALSE         FALSE
## Garage.Area         FALSE     FALSE         FALSE         FALSE         FALSE
## Wood.Deck.SF        FALSE     FALSE         FALSE         FALSE         FALSE
## Open.Porch.SF       FALSE     FALSE         FALSE         FALSE         FALSE
## Enclosed.Porch      FALSE     FALSE         FALSE         FALSE         FALSE
## X3Ssn.Porch         FALSE     FALSE         FALSE         FALSE         FALSE
## Screen.Porch        FALSE     FALSE         FALSE         FALSE         FALSE
## Pool.Area           FALSE     FALSE         FALSE         FALSE         FALSE
## Misc.Val            FALSE     FALSE         FALSE         FALSE         FALSE
## Mo.Sold             FALSE     FALSE         FALSE         FALSE         FALSE
## Yr.Sold             FALSE     FALSE         FALSE         FALSE         FALSE
## SalePrice            TRUE     FALSE         FALSE         FALSE         FALSE
##                 Fireplaces Garage.Yr.Blt Garage.Cars Garage.Area Wood.Deck.SF
## MS.SubClass          FALSE         FALSE       FALSE       FALSE        FALSE
## Lot.Frontage         FALSE         FALSE       FALSE       FALSE        FALSE
## Lot.Area             FALSE         FALSE       FALSE       FALSE        FALSE
## Overall.Qual         FALSE         FALSE        TRUE        TRUE        FALSE
## Overall.Cond         FALSE         FALSE       FALSE       FALSE        FALSE
## Year.Built           FALSE         FALSE        TRUE       FALSE        FALSE
## Year.Remod.Add       FALSE         FALSE       FALSE       FALSE        FALSE
## Mas.Vnr.Area         FALSE         FALSE       FALSE       FALSE        FALSE
## BsmtFin.SF.1         FALSE         FALSE       FALSE       FALSE        FALSE
## BsmtFin.SF.2         FALSE         FALSE       FALSE       FALSE        FALSE
## Bsmt.Unf.SF          FALSE         FALSE       FALSE       FALSE        FALSE
## Total.Bsmt.SF        FALSE         FALSE       FALSE       FALSE        FALSE
## X1st.Flr.SF          FALSE         FALSE       FALSE       FALSE        FALSE
## X2nd.Flr.SF          FALSE         FALSE       FALSE       FALSE        FALSE
## Low.Qual.Fin.SF      FALSE         FALSE       FALSE       FALSE        FALSE
## Gr.Liv.Area          FALSE         FALSE       FALSE       FALSE        FALSE
## Bsmt.Full.Bath       FALSE         FALSE       FALSE       FALSE        FALSE
## Bsmt.Half.Bath       FALSE         FALSE       FALSE       FALSE        FALSE
## Full.Bath            FALSE         FALSE       FALSE       FALSE        FALSE
## Half.Bath            FALSE         FALSE       FALSE       FALSE        FALSE
## Bedroom.AbvGr        FALSE         FALSE       FALSE       FALSE        FALSE
## Kitchen.AbvGr        FALSE         FALSE       FALSE       FALSE        FALSE
## TotRms.AbvGrd        FALSE         FALSE       FALSE       FALSE        FALSE
## Fireplaces           FALSE         FALSE       FALSE       FALSE        FALSE
## Garage.Yr.Blt        FALSE         FALSE        TRUE        TRUE        FALSE
## Garage.Cars          FALSE          TRUE       FALSE        TRUE        FALSE
## Garage.Area          FALSE          TRUE        TRUE       FALSE        FALSE
## Wood.Deck.SF         FALSE         FALSE       FALSE       FALSE        FALSE
## Open.Porch.SF        FALSE         FALSE       FALSE       FALSE        FALSE
## Enclosed.Porch       FALSE         FALSE       FALSE       FALSE        FALSE
## X3Ssn.Porch          FALSE         FALSE       FALSE       FALSE        FALSE
## Screen.Porch         FALSE         FALSE       FALSE       FALSE        FALSE
## Pool.Area            FALSE         FALSE       FALSE       FALSE        FALSE
## Misc.Val             FALSE         FALSE       FALSE       FALSE        FALSE
## Mo.Sold              FALSE         FALSE       FALSE       FALSE        FALSE
## Yr.Sold              FALSE         FALSE       FALSE       FALSE        FALSE
## SalePrice            FALSE         FALSE        TRUE        TRUE        FALSE
##                 Open.Porch.SF Enclosed.Porch X3Ssn.Porch Screen.Porch Pool.Area
## MS.SubClass             FALSE          FALSE       FALSE        FALSE     FALSE
## Lot.Frontage            FALSE          FALSE       FALSE        FALSE     FALSE
## Lot.Area                FALSE          FALSE       FALSE        FALSE     FALSE
## Overall.Qual            FALSE          FALSE       FALSE        FALSE     FALSE
## Overall.Cond            FALSE          FALSE       FALSE        FALSE     FALSE
## Year.Built              FALSE          FALSE       FALSE        FALSE     FALSE
## Year.Remod.Add          FALSE          FALSE       FALSE        FALSE     FALSE
## Mas.Vnr.Area            FALSE          FALSE       FALSE        FALSE     FALSE
## BsmtFin.SF.1            FALSE          FALSE       FALSE        FALSE     FALSE
## BsmtFin.SF.2            FALSE          FALSE       FALSE        FALSE     FALSE
## Bsmt.Unf.SF             FALSE          FALSE       FALSE        FALSE     FALSE
## Total.Bsmt.SF           FALSE          FALSE       FALSE        FALSE     FALSE
## X1st.Flr.SF             FALSE          FALSE       FALSE        FALSE     FALSE
## X2nd.Flr.SF             FALSE          FALSE       FALSE        FALSE     FALSE
## Low.Qual.Fin.SF         FALSE          FALSE       FALSE        FALSE     FALSE
## Gr.Liv.Area             FALSE          FALSE       FALSE        FALSE     FALSE
## Bsmt.Full.Bath          FALSE          FALSE       FALSE        FALSE     FALSE
## Bsmt.Half.Bath          FALSE          FALSE       FALSE        FALSE     FALSE
## Full.Bath               FALSE          FALSE       FALSE        FALSE     FALSE
## Half.Bath               FALSE          FALSE       FALSE        FALSE     FALSE
## Bedroom.AbvGr           FALSE          FALSE       FALSE        FALSE     FALSE
## Kitchen.AbvGr           FALSE          FALSE       FALSE        FALSE     FALSE
## TotRms.AbvGrd           FALSE          FALSE       FALSE        FALSE     FALSE
## Fireplaces              FALSE          FALSE       FALSE        FALSE     FALSE
## Garage.Yr.Blt           FALSE          FALSE       FALSE        FALSE     FALSE
## Garage.Cars             FALSE          FALSE       FALSE        FALSE     FALSE
## Garage.Area             FALSE          FALSE       FALSE        FALSE     FALSE
## Wood.Deck.SF            FALSE          FALSE       FALSE        FALSE     FALSE
## Open.Porch.SF           FALSE          FALSE       FALSE        FALSE     FALSE
## Enclosed.Porch          FALSE          FALSE       FALSE        FALSE     FALSE
## X3Ssn.Porch             FALSE          FALSE       FALSE        FALSE     FALSE
## Screen.Porch            FALSE          FALSE       FALSE        FALSE     FALSE
## Pool.Area               FALSE          FALSE       FALSE        FALSE     FALSE
## Misc.Val                FALSE          FALSE       FALSE        FALSE     FALSE
## Mo.Sold                 FALSE          FALSE       FALSE        FALSE     FALSE
## Yr.Sold                 FALSE          FALSE       FALSE        FALSE     FALSE
## SalePrice               FALSE          FALSE       FALSE        FALSE     FALSE
##                 Misc.Val Mo.Sold Yr.Sold SalePrice
## MS.SubClass        FALSE   FALSE   FALSE     FALSE
## Lot.Frontage       FALSE   FALSE   FALSE     FALSE
## Lot.Area           FALSE   FALSE   FALSE     FALSE
## Overall.Qual       FALSE   FALSE   FALSE      TRUE
## Overall.Cond       FALSE   FALSE   FALSE     FALSE
## Year.Built         FALSE   FALSE   FALSE      TRUE
## Year.Remod.Add     FALSE   FALSE   FALSE      TRUE
## Mas.Vnr.Area       FALSE   FALSE   FALSE      TRUE
## BsmtFin.SF.1       FALSE   FALSE   FALSE     FALSE
## BsmtFin.SF.2       FALSE   FALSE   FALSE     FALSE
## Bsmt.Unf.SF        FALSE   FALSE   FALSE     FALSE
## Total.Bsmt.SF      FALSE   FALSE   FALSE      TRUE
## X1st.Flr.SF        FALSE   FALSE   FALSE      TRUE
## X2nd.Flr.SF        FALSE   FALSE   FALSE     FALSE
## Low.Qual.Fin.SF    FALSE   FALSE   FALSE     FALSE
## Gr.Liv.Area        FALSE   FALSE   FALSE      TRUE
## Bsmt.Full.Bath     FALSE   FALSE   FALSE     FALSE
## Bsmt.Half.Bath     FALSE   FALSE   FALSE     FALSE
## Full.Bath          FALSE   FALSE   FALSE      TRUE
## Half.Bath          FALSE   FALSE   FALSE     FALSE
## Bedroom.AbvGr      FALSE   FALSE   FALSE     FALSE
## Kitchen.AbvGr      FALSE   FALSE   FALSE     FALSE
## TotRms.AbvGrd      FALSE   FALSE   FALSE     FALSE
## Fireplaces         FALSE   FALSE   FALSE     FALSE
## Garage.Yr.Blt      FALSE   FALSE   FALSE     FALSE
## Garage.Cars        FALSE   FALSE   FALSE      TRUE
## Garage.Area        FALSE   FALSE   FALSE      TRUE
## Wood.Deck.SF       FALSE   FALSE   FALSE     FALSE
## Open.Porch.SF      FALSE   FALSE   FALSE     FALSE
## Enclosed.Porch     FALSE   FALSE   FALSE     FALSE
## X3Ssn.Porch        FALSE   FALSE   FALSE     FALSE
## Screen.Porch       FALSE   FALSE   FALSE     FALSE
## Pool.Area          FALSE   FALSE   FALSE     FALSE
## Misc.Val           FALSE   FALSE   FALSE     FALSE
## Mo.Sold            FALSE   FALSE   FALSE     FALSE
## Yr.Sold            FALSE   FALSE   FALSE     FALSE
## SalePrice          FALSE   FALSE   FALSE     FALSE

Once the dataset has been scrubbed, initial exploratory data analysis is conducted. The first analysis is looking at all numeric vectors in the dataset and checking to see if there are any correlations between variables.

Correlations:

Total.Bsmt.SF ~ X1st.Flr.SF (0.80)

Gr.Liv.Area ~ TotRms.AbvGrd (0.81)

Garage.Cars ~ Garage.Area (0.89)

The exploratory analysis shows that the SalePrice is strongly correlated with a number of variables, but some of these variables are correlated with each other, since they are measuring almost the same thing. These variables are looked at below. However, we see that a lot of predictors are indicative of SalePrice, and are positively correlated (corr >0.5) with our independent variable such as that of Overall Quality, Year Built, Year Remodeled, veneer area, Area of type1 basement (BasementSF2), areas of type2 basement (BasementSF2), Total basement area, First floor area, Ground floor living area, number of full bathrooms, and the garage area in terms of cars and square feet. We have to note however, these are all numeric variables.

By looking at the numeric variables, we can see some of the thing are correlated with each other. For example, the Overall Quality variable is correlated with all of our initial selection of variables (the ones with -0.5<corr<0.5) and it seems like this index was created by looking taking these other variables into account.

All the housing characteristics are highly correlated with each other, for example the area of the first floor is correlated with area of the basement and the living area. Which is expected since the house has the same area for each of these floors, the sq foot area can’t be different by much. The number of bathrooms is also correlated with the Living room area, which again is dependent on the size of the house itself, the larger the size (which can be roughly approximated by the living area since that is the largest area in a house) the more bathrooms required. It would be smart to just keep one measure of area at in our linear model.

The garage area and the garage cars are also highly correlated because they are measuring the same thing.

Year built and year remodeled do not have such a high correlation, and both are important variables.

c). Box Plots of Categorical Variables

qual.cols.vec <-  c(29, 30, 32, 33, 42, 55, 59, 65, 66, 74)
for (i in qual.cols.vec){
  boxplots <- qplot(data = housing.factors, x = housing.factors[,i], y = SalePrice, geom = "boxplot", xlab = paste(colnames(housing.factors)[i]))
  print(boxplots)
  
}

qual.cols.vec <-  c(3, 4, 7, 8 , 9 , 10, 11, 12, 13, 14, 15, 16, 17,
                    18, 23, 24, 25, 26, 27, 31, 35, 37, 41, 44, 57,
                    60, 62, 67, 75, 76, 80, 81)
for (i in qual.cols.vec){
  boxplots <- qplot(data = housing.factors, x = housing.factors[,i], y = SalePrice, geom = "boxplot", xlab = paste(colnames(housing.factors)[i]))
  print(boxplots)
  
}

#Note all variables that are used in models, so we can retain their box plots:

For our categorical variables, SalePrice is seen to be increasing (not checking if the increase is statistically significant just yet) across better quality/conditions of all our qualitative predictors. Although the increasing quality is seen to have a higher effect on SalePrice than the increasing conditions of these variables. Some examples are increasing SalePrice as Exterior Quality and Exterior condition, Basement Quality and Basement Conditions, Pool, kitchen, fireplace qualities go from Poor to Excellent. Other predictors such as Presence of an alley, the Lot characteristics, and the zoning variables do not seem to have a upwards or downwards trend with SalePrice.

2. Sales Price Prediction Models

Tip: think about performance metrics other than MSE: MAE, relative error, etc. > A predictive model that uses housing sale prices 2006-2009.

a). Forward and Backward Stepwise Model

i). Finding the Optimal Stepwise Model

# Forward and backward stepwise (best subset will be too time-intensive)
nvmax = 1000 #ncol(housing)
model = map(
  .x = c('forward', 'backward'),
  .f = ~regsubsets(SalePrice ~ .,
           data = housing.factors[housing.factors$Yr.Sold != 2010, ],
           nvmax = nvmax, method = .x, really.big = F)
)

## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax, force.in =
## force.in, : 15 linear dependencies found

## Reordering variables and trying again:

## Warning in rval$lopt[] <- rval$vorder[rval$lopt]: number of items to replace is
## not a multiple of replacement length

## Warning in rval$lopt[] <- rval$vorder[rval$lopt]: 15 linear dependencies found

## Reordering variables and trying again:

## Warning in rval$lopt[] <- rval$vorder[rval$lopt]: number of items to replace is
## not a multiple of replacement length

# Find optimal models
for(.x in 1:2) {
  num_variables = 1:length(summary(model[[.x]])$rss)
  # R^2
  plot_RSQ = ggplot(data = data.frame(summary(model[[.x]])$rsq),
                    aes(x = num_variables, y = summary(model[[.x]])$rsq)) +
    geom_line() +
    geom_point(x = which.max(summary(model[[.x]])$rsq),
               y = max(summary(model[[.x]])$rsq), aes(color = "red"),
               show.legend = FALSE) +
    xlab("# Variables") +
    ylab("R-squared") +
    theme_bw()
  # RSS
  plot_RSS = ggplot(data = data.frame(summary(model[[.x]])$rss),
                    aes(x = num_variables, y = summary(model[[.x]])$rss)) +
    geom_line() +
    geom_point(x = which.min(summary(model[[.x]])$rss),
               y = min(summary(model[[.x]])$rss), aes(color = "red"),
               show.legend = FALSE) +
    xlab("# Variables") +
    ylab("RSS") +
    theme_bw()
  # BIC
  plot_BIC = ggplot(data = data.frame(summary(model[[.x]])$bic),
                    aes(x = num_variables, y = summary(model[[.x]])$bic)) +
    geom_line() +
    geom_point(x = which.min(summary(model[[.x]])$bic),
               y = min(summary(model[[.x]])$bic), aes(color = "red"),
               show.legend = FALSE) +
    xlab("# Variables") +
    ylab("BIC") +
    ggtitle("BIC", 
            str_c("Optimal value at ", which.min(summary(model[[.x]])$bic))) + 
    theme_bw()
  # AIC
  plot_AIC = ggplot(data = data.frame(summary(model[[.x]])$cp),
                    aes(x = num_variables, y = summary(model[[.x]])$cp)) +
    geom_line() +
    geom_point(x = which.min(summary(model[[.x]])$cp),
               y = min(summary(model[[.x]])$cp), aes(color = "red"),
               show.legend = FALSE) +
    xlab("# Variables") +
    ylab("AIC") +
    ggtitle("AIC", 
            str_c("Optimal value at ", which.min(summary(model[[.x]])$cp))) + 
    theme_bw()
  # Plot
  gridExtra::grid.arrange(plot_RSQ, plot_RSS, plot_AIC, plot_BIC, 
                           ncol = 2, nrow = 2)
}

ii). Predictions of the Optimal Model

# Get predictions from optimal models
model_coef = map(1:2, 
                 ~coef(model[[.x]], which.min(summary(model[[.x]])$bic)))
temp = bind_rows(
  tibble(method = 'forward', var = names(model_coef[[1]]), 
         coef = model_coef[[1]], varmatch = NA_character_),
  tibble(method = 'backward', var = names(model_coef[[2]]), 
         coef = model_coef[[2]], varmatch = NA_character_)
) 

# Try to figure out programmatically which variables are in the models
for(r in 1:nrow(temp)) {
  if(temp$method[r] == 'forward') {
    potential_names = names(housing.factors)[agrepl(names(model_coef[[1]][r]),
                                            names(housing.factors), 
                                            max.distance = 0.3)]
  } else {
    potential_names = names(housing.factors)[agrepl(names(model_coef[[2]][r]),
                                            names(housing.factors),
                                            max.distance = 0.3)]
  }
  if(length(potential_names) == 0) {
    varmatch = NA_character_
  } else if(length(potential_names) == 1) {
    varmatch = potential_names
  } else {
    varmatch = str_flatten(
      intersect(
        unlist(strsplit(potential_names, '')), 
        unlist(strsplit(potential_names, ''))
      )
    )
  }
  temp$varmatch[r] = varmatch
}

iii). Refitting Forward and Backaward Models

# Refit: Forward
forward_predictors = c('MS.SubClass', 'Lot.Area', 'Lot.Config',
                       'Land.Slope', 'Neighborhood', 'Condition.1',
                       'Condition.2', 'House.Style', 'Overall.Cond',
                       'Year.Built', 'Year.Remod.Add', 'Roof.Style', 
                       'Roof.Matl', 'Exterior.1st', 'Mas.Vnr.Area', 
                       'Exter.Qual', 'Exter.Cond', 'Bsmt.Exposure',
                       'BsmtFin.Type.1', 'BsmtFin.SF.1', 'BsmtFin.SF.2',
                       'Heating.QC', 'Low.Qual.Fin.SF', 'Kitchen.Qual',
                       'TotRms.AbvGrd', 'Functional', 'Fireplace.Qu',
                       'Garage.Type', 'Garage.Yr.Blt', 'Garage.Cond',
                       'Paved.Drive', 'Wood.Deck.SF', 'Misc.Feature',
                       'Misc.Val', 'Yr.Sold', 'Sale.Type',
                       'BsmtFin.Type.1', 'Kitchen.Qual', 'Garage.Cond')
forward_pred = predict(
  lm(formula(paste('SalePrice ~', str_flatten(forward_predictors, "+"))), 
     data = housing.factors), #[housing$Yr.Sold != 2010, ]),
  housing.factors[housing.factors$Yr.Sold == 2010, ]
)

# Refit: Backward
backward_predictors = c('MS.SubClass', 'Lot.Area', 'Land.Slope',
                        'Neighborhood', 'Condition.1', 'Condition.2',
                        'Bldg.Type', 'Overall.Cond', 'Year.Built',
                        'Year.Remod.Add', 'Roof.Style', 'Roof.Matl', 
                        'Exterior.1st', 'Mas.Vnr.Type', 'Exter.Qual', 
                        'Exter.Cond', 'Bsmt.Cond', 'BsmtFin.Type.1', 
                        'BsmtFin.SF.1', 'BsmtFin.SF.1', 'Heating.QC',
                        'Kitchen.Qual', 'Functional', 'Fireplaces',
                        'Fireplace.Qu', 'Garage.Type', 'Garage.Yr.Blt',
                        'Wood.Deck.SF', 'X3Ssn.Porch', 'Screen.Porch',
                        'Misc.Feature', 'Sale.Type', 'BsmtFin.Type.1',
                        'Garage.Cond')
backward_pred = predict(
  lm(formula(paste('SalePrice ~', str_flatten(backward_predictors, "+"))), 
     data = housing.factors), #[housing$Yr.Sold != 2010, ]),
  housing.factors[housing.factors$Yr.Sold == 2010, ]
)

## Warning in predict.lm(lm(formula(paste("SalePrice ~",
## str_flatten(backward_predictors, : prediction from a rank-deficient fit may be
## misleading

b). Generalized Linear Model

# GLM
glm = glm(SalePrice ~ ., data = housing.factors[housing.factors$Yr.Sold != 2010, ])
names(coef(glm)[coef(summary(glm))[, "Pr(>|t|)"]  < 0.05])[-1]

##  [1] "MS.SubClass120"      "MS.SubClass160"      "MS.SubClass180"     
##  [4] "Lot.Area"            "Land.ContourHLS"     "Land.ContourLvl"    
##  [7] "Lot.ConfigCulDSac"   "Land.SlopeMod"       "Land.SlopeSev"      
## [10] "NeighborhoodEdwards" "NeighborhoodGrnHill" "NeighborhoodMitchel"
## [13] "NeighborhoodNAmes"   "NeighborhoodNoRidge" "NeighborhoodNridgHt"
## [16] "NeighborhoodNWAmes"  "NeighborhoodStoneBr" "Condition.1Norm"    
## [19] "Condition.1PosA"     "Condition.1PosN"     "Condition.2PosA"    
## [22] "Condition.2PosN"     "House.StyleSLvl"     "Overall.Qual"       
## [25] "Overall.Cond"        "Year.Built"          "Roof.StyleShed"     
## [28] "Roof.MatlCompShg"    "Roof.MatlMembran"    "Roof.MatlMetal"     
## [31] "Roof.MatlRoll"       "Roof.MatlTar&Grv"    "Roof.MatlWdShake"   
## [34] "Exterior.1stBrkComm" "Exterior.1stPlywood" "Mas.Vnr.TypeBrkCmn" 
## [37] "Mas.Vnr.TypeNone"    "Mas.Vnr.TypeStone"   "Mas.Vnr.Area"       
## [40] "Bsmt.CondGd"         "Bsmt.CondEx"         "Bsmt.ExposureDNE"   
## [43] "Bsmt.ExposureMn"     "Bsmt.ExposureNo"     "BsmtFin.Type.1LwQ"  
## [46] "BsmtFin.Type.1Rec"   "BsmtFin.Type.2Rec"   "BsmtFin.Type.2BLQ"  
## [49] "ElectricalFuseA"     "ElectricalFuseF"     "ElectricalFuseP"    
## [52] "X1st.Flr.SF"         "Low.Qual.Fin.SF"     "Gr.Liv.Area"        
## [55] "Full.Bath"           "Kitchen.AbvGr"       "FunctionalMaj2"     
## [58] "FunctionalMin1"      "FunctionalMod"       "FunctionalSal"      
## [61] "FunctionalSev"       "Fireplace.QuPo"      "Fireplace.QuGd"     
## [64] "Garage.TypeDetchd"   "Garage.TypeDNE"      "Garage.Yr.Blt"      
## [67] "Garage.FinishFin"    "Garage.FinishRFn"    "Garage.FinishUnf"   
## [70] "Garage.Cars"         "Garage.Area"         "Garage.QualPo"      
## [73] "Garage.QualFa"       "Garage.QualEx"       "Garage.CondGd"      
## [76] "Open.Porch.SF"       "Pool.QCFa"           "Sale.TypeConLI"     
## [79] "Sale.TypeCWD"

c). General Additive Model

i). Model Preperation and Functions

polyTestErr <- function(dat, train, d) {
  poly.fit <- lm(y ~ poly(x, degree = d), data = dat, subset = train)
  preds <- predict(poly.fit, dat)[-train]
  mean((dat$y[-train] - preds)^2)
}

cubicSplineTestErr <- function(dat, train, df) {
  if(df >= 3) {
    spline.fit <- lm(y ~ bs(x, df = df), data = dat, subset = train)
    preds <- predict(spline.fit, dat)[-train]
    mean((dat$y[-train] - preds)^2)
  } else {
    NA
  }
}

smoothSplineTestErr <- function(dat, train, df) {
  if(df > 1) {
    spline.fit <- with(dat, smooth.spline(x[train], y[train], df = df))
    preds <- predict(spline.fit, dat$x)$y[-train]
    mean((dat$y[-train] - preds)^2)
  } else {
    NA
  }
}

smoothCV <- function(x, y, K = 10, df.min = 1, df.max = 10) {
  dat <- data.frame(x = x, y = y)
  n <- length(y) # number of observations
  
  num.methods <- 3
  method.names <- c("poly", "cubic.spline", "smoothing.spline")
  err.out <- data.frame(df = rep(df.min:df.max, each = num.methods),
                        method = rep(method.names, df.max - df.min + 1))
  
  # Get a random permutation of the indexes
  random.perm <- sample(n)
  # break points for the folds.  If n is not evenly divisible by K,
  # these may not be of exactly the same size.
  fold.breaks <- round(seq(1,n+1, length.out = K + 1))
  fold.start <- fold.breaks[1:K]
  fold.end <- fold.breaks[2:(K+1)] - 1
  fold.end[K] <- n # Fix the last endoint to equal n
  fold.size <- fold.end - fold.start + 1 # num obs in each fold
  
  cv.err <- NULL
  fold.err <- matrix(0, nrow = K, ncol = 3)
  colnames(fold.err) <- c("poly", "cubic.spline", "smoothing.spline")
  # Outer loop: Loop over degrees of freedom
  # Inner loop: Iterate over the K folds
  for(df in df.min:df.max) {
    for(k in 1:K) {
      test.idx <- fold.start[k]:fold.end[k]
      train <- random.perm[-test.idx]
      
      # Calculate test error for the three models
      poly.err <- polyTestErr(dat, train = train, d = df)
      cubic.spline.err <- cubicSplineTestErr(dat, train = train, df = df)
      smooth.spline.err <- smoothSplineTestErr(dat, train = train, df = df)
      
      # Store results for this fold
      fold.err[k,] <- c(poly.err, cubic.spline.err, smooth.spline.err)
#       print(fold.err[k,])
    }
    # Perform weighted averaging to calculate CV error estimate
    # MSE estimates from each fold are weighted by the size of the fold
    # If all folds are the same size, this is the same thing as the unweighted
    # average of all of the MSE's
    err.ave <- colSums(sweep(fold.err, MARGIN = 1, fold.size, FUN = "*") / n)
    cv.err <- c(cv.err, err.ave)
  }
  err.out$cv.error <- cv.err
  err.out
}

plot.smoothCV <- function(smoothcv.err, K, title.text = "", facet = FALSE,
                          y.scale.factor = NULL) {

  # Convert the method names
  dat <- transform(smoothcv.err, 
                   method = mapvalues(method,
                                      c("poly", "cubic.spline", "smoothing.spline"),
                                      c("Polynomial", "Cubic spline", "Smoothing Spline")
                                      )
                   )
  
  # Set axes labels
  x.text <- "Degrees of Freedom"
  y.text <- paste0(K, "-fold CV Error")
  
  # The ggplot "setting": data, axes, and color by method
  p <- ggplot(data = dat, aes(x = df, y = cv.error, colour = method)) 
  
  # Overlay with line plots, data points, axes labels, and graph title
  p <- p + geom_line() + geom_point() + xlab(x.text) + ylab(y.text) +
          ggtitle(title.text)
  
  # Adjust the y axis range if y.scale.factor is specified
  if(!is.null(y.scale.factor)) {
    min.err <- min(dat$cv.error, na.rm = TRUE)
    p <- p + ylim(min.err, y.scale.factor * min.err)
  }
  
  # Show a separate plot per method if facet=TRUE
  if(!facet) {
    print(p)
  } else {
    print(p + facet_wrap("method"))
  }
}

cv.cols <- c(5,21,22,28,36,39,40,45,46,48,56,64,68,69,78)

for (i in cv.cols){

  #print(colnames(housing[i]))
  cv.allvar <- smoothCV(x = housing[[i]],
                        y= housing$SalePrice,
                        df.min = 1,
                        df.max = 10
                        )
  cv.allvar.plot<- plot.smoothCV(cv.allvar,
                K=10,
                title.text= paste(colnames(housing[i]))
                )
  cv.allvar.plot
  #print(which.min(cv.allvar.plot$data$cv.error))
}

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
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## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
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## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
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## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
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## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
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## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
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## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
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## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
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## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
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## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
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## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
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## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
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## Warning: Removed 3 row(s) containing missing values (geom_path).

## Warning: Removed 3 rows containing missing values (geom_point).

## Warning: Removed 3 row(s) containing missing values (geom_path).

## Warning: Removed 3 rows containing missing values (geom_point).

## Warning: Removed 3 row(s) containing missing values (geom_path).

## Warning: Removed 3 rows containing missing values (geom_point).

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## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning: Removed 3 row(s) containing missing values (geom_path).

## Warning: Removed 3 rows containing missing values (geom_point).

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning: Removed 3 row(s) containing missing values (geom_path).

## Warning: Removed 3 rows containing missing values (geom_point).

## Warning: Removed 3 row(s) containing missing values (geom_path).

## Warning: Removed 3 rows containing missing values (geom_point).

## Warning: Removed 3 row(s) containing missing values (geom_path).

## Warning: Removed 3 rows containing missing values (geom_point).

## Warning: Removed 3 row(s) containing missing values (geom_path).

## Warning: Removed 3 rows containing missing values (geom_point).

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning: Removed 3 row(s) containing missing values (geom_path).

## Warning: Removed 3 rows containing missing values (geom_point).

## Warning: Removed 3 row(s) containing missing values (geom_path).

## Warning: Removed 3 rows containing missing values (geom_point).

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning: Removed 3 row(s) containing missing values (geom_path).

## Warning: Removed 3 rows containing missing values (geom_point).

## Warning: Removed 3 row(s) containing missing values (geom_path).

## Warning: Removed 3 rows containing missing values (geom_point).

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning: Removed 3 row(s) containing missing values (geom_path).

## Warning: Removed 3 rows containing missing values (geom_point).

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
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## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
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## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
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## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
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## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
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## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
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## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
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## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
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## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
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## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
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## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
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## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
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## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
## be misleading

## Warning: Removed 3 row(s) containing missing values (geom_path).

## Warning: Removed 3 rows containing missing values (geom_point).

## Warning: Removed 3 row(s) containing missing values (geom_path).

## Warning: Removed 3 rows containing missing values (geom_point).

# Lot.Frontage poly 9
# Year.Built Cubic 6
# Year.Remod.Add Smooth 10
# Mas.Vnr.Area Poly 1
# BsmtFin.SF.1 Poly 1
# Bsmt.Unf.SF Cubic 6
# Total.Bsmt.SF Poly 1
# X1st.Flr.SF Poly 1
# x2nd.Flr.SF Poly 2
# Gr.Liv.Area Poly 1
# TotRms.AbvGrd Cubic 3
# Garage.Area Smooth 10
# Wood.Deck.SF Poly 1
# Open.Porch.SF Poly 1
# Mo.Sold Smooth 5

ii).Fit General Additive Model, Predict 2010 Data, and Plot GAM.

gam.model <- gam(SalePrice~poly(Lot.Frontage,9) + bs(Year.Built, 6) +
                  s(Year.Remod.Add, 10) + poly(Mas.Vnr.Area,1) +
                  poly(BsmtFin.SF.1,1) + bs(Bsmt.Unf.SF, 6) +
                  poly(Total.Bsmt.SF,1) +  poly(X1st.Flr.SF,1) +
                  poly(X2nd.Flr.SF,2) + poly(Gr.Liv.Area,1) + bs(TotRms.AbvGrd,3) +
                  s(Garage.Area, 10) + poly(Wood.Deck.SF, 1) + poly(Open.Porch.SF) + 
                  s(Mo.Sold, 3), data = housing)

gam_pred = predict(gam.model, 
                     newdata = housing.factors[housing.factors$Yr.Sold == 2010, ])
par(mfrow = c(2,4))
plot(gam.model, col='red', lwd =2)

d). Lasso Model

i). Initial Lasso Model Fit

# Lasso [Primary]
# Define x and y objects for Lasso, as well as specifying training data
train = which(housing.factors$Yr.Sold != 2010)
x = model.matrix(SalePrice ~ ., housing.factors)[, -1]
y = housing.factors$SalePrice

# Fit and plot model
lasso_model = cv.glmnet(x[train, ], y[train] , alpha = 1)
plot(lasso_model)

ii). Minimun Lambda and 1SE Value

# Find min and 1SE values of lambda
lasso_model$lambda.min; lasso_model$lambda.1se

## [1] 561.7294

## [1] 3290.061

lasso_pred = predict(lasso_model, s = lasso_model$lambda.1se, 
                     newx = x[-train, ])

iii). Refit Lasso Model and Find Non-Zero Coefficients

# Refit model and find non-zero coefficients
lasso_model_coef = map(
  .x = c(lasso_model$lambda.min, lasso_model$lambda.min),
  .f = ~predict(glmnet(x, y ,alpha = 1), s = .x, type = 'coefficients')
)

kable(lasso_model_coef[[1]][lasso_model_coef[[1]][,1]!=0,1])

	x
(Intercept)	-4.556463e+05
MS.SubClass90	-8.319531e+03
MS.SubClass120	-5.295658e+03
MS.SubClass150	-7.346303e+03
MS.SubClass160	-7.637981e+03
MS.SubClass190	-4.917511e+03
MS.ZoningC (all)	-2.878291e+03
MS.ZoningRM	-4.332112e+03
Lot.Area	3.291019e-01
StreetPave	6.270311e+03
Lot.ShapeIR2	2.747324e+03
Lot.ShapeIR3	-1.424472e+04
Land.ContourHLS	5.649911e+03
Land.ContourLvl	1.267575e+03
UtilitiesNoSeWa	-7.610431e+02
Lot.ConfigCulDSac	4.837358e+03
Lot.ConfigFR2	-2.213698e+03
Land.SlopeMod	1.900011e+03
NeighborhoodBrkSide	1.912237e+03
NeighborhoodCrawfor	1.396723e+04
NeighborhoodEdwards	-5.924192e+03
NeighborhoodGrnHill	9.359630e+04
NeighborhoodMitchel	-7.988055e+02
NeighborhoodNAmes	-1.959158e+03
NeighborhoodNoRidge	3.744406e+04
NeighborhoodNPkVill	7.050625e+01
NeighborhoodNridgHt	2.534146e+04
NeighborhoodNWAmes	-2.990502e+03
NeighborhoodOldTown	-1.537492e+03
NeighborhoodSomerst	1.413445e+04
NeighborhoodStoneBr	4.064104e+04
NeighborhoodSWISU	-6.960496e+02
Condition.1Feedr	-8.477874e+00
Condition.1Norm	7.742900e+03
Condition.1PosA	4.096369e+03
Condition.1PosN	6.759927e+03
Condition.2PosA	4.779070e+04
Condition.2PosN	-7.693945e+04
Bldg.TypeDuplex	-1.312219e+01
Bldg.TypeTwnhs	-1.176727e+04
Bldg.TypeTwnhsE	-1.021455e+04
House.Style1Story	2.744273e+03
Overall.Qual	8.324137e+03
Overall.Cond	4.649523e+03
Year.Built	2.469363e+02
Year.Remod.Add	8.611468e+01
Roof.StyleHip	2.896201e+01
Roof.MatlCompShg	3.282446e+03
Roof.MatlMembran	9.093706e+02
Roof.MatlWdShngl	5.838646e+04
Exterior.1stBrkFace	1.406566e+04
Exterior.1stCemntBd	3.409265e+02
Exterior.1stHdBoard	-1.077965e+03
Exterior.1stPreCast	4.536614e+04
Exterior.1stStucco	-3.782248e+03
Exterior.2ndPlywood	-4.776243e+01
Exterior.2ndStucco	-1.327931e+03
Exterior.2ndVinylSd	1.089340e+03
Mas.Vnr.TypeBrkCmn	-4.136472e+03
Mas.Vnr.TypeBrkFace	-1.437982e+03
Mas.Vnr.TypeCBlock	-3.143236e+04
Mas.Vnr.Area	1.894616e+01
Exter.QualTA	-3.423239e+03
Exter.QualEx	2.301835e+04
FoundationPConc	1.789163e+03
Bsmt.QualEx	2.270149e+04
Bsmt.ExposureGd	1.241540e+04
Bsmt.ExposureMn	-2.708815e+03
Bsmt.ExposureNo	-4.676846e+03
BsmtFin.Type.1GLQ	2.498111e+03
BsmtFin.SF.1	1.162995e+01
BsmtFin.Type.2ALQ	7.471828e+02
BsmtFin.Type.2GLQ	2.677371e+03
BsmtFin.SF.2	3.762262e+00
Total.Bsmt.SF	1.117882e+01
HeatingOthW	-1.256177e+04
Heating.QCTA	-1.948364e+02
Heating.QCEx	2.432140e+03
X1st.Flr.SF	3.743850e-02
Low.Qual.Fin.SF	-1.975146e+01
Gr.Liv.Area	4.752874e+01
Bsmt.Full.Bath	3.064714e+03
Full.Bath	2.680403e+03
Half.Bath	7.317373e+01
Bedroom.AbvGr	-5.254042e+02
Kitchen.AbvGr	-1.200560e+04
Kitchen.QualTA	-1.992835e+03
Kitchen.QualEx	2.241514e+04
TotRms.AbvGrd	2.154884e+02
FunctionalMaj2	-7.269396e+01
FunctionalSal	-1.149652e+04
FunctionalSev	-2.095135e+04
FunctionalTyp	7.536019e+03
Fireplaces	4.715029e+03
Fireplace.QuFa	-7.843960e+02
Fireplace.QuEx	5.628087e+03
Garage.TypeBasment	-2.789360e+03
Garage.TypeDNE	2.260308e+03
Garage.FinishFin	1.168701e+03
Garage.FinishRFn	-4.024519e+02
Garage.Cars	6.127353e+03
Garage.Area	7.179958e+00
Garage.QualGd	1.018808e+04
Garage.QualEx	1.685099e+04
Garage.CondFa	-6.875397e+02
Wood.Deck.SF	1.112693e+01
Screen.Porch	3.608953e+01
Pool.Area	1.766880e+01
Pool.QCGd	-1.053107e+05
Pool.QCEx	8.260053e+04
Misc.FeatureElev	-4.154490e+05
Misc.FeatureOthr	2.114322e+02
Yr.Sold	-1.174420e+02
Sale.TypeCon	1.814407e+04
Sale.TypeNew	1.223731e+04
Sale.ConditionAlloca	2.935977e+03
Sale.ConditionNormal	2.961310e+03
Sale.ConditionPartial	1.214260e+02

e). Tree-based and Boosted Models

i). Create Boosted Model

boost_model = gbm(SalePrice ~ ., 
                  data = mutate_if(housing.factors, is.character, as.factor)[housing.factors$Yr.Sold != 2010, ],
                  distribution = 'gaussian', 
                  n.trees = 5000,
                  cv.folds = 10,
                  shrinkage = 0.1,
                  interaction.depth = 4)

i). Summary Table of Boosted Model

summary(boost_model)

##                             var      rel.inf
## Overall.Qual       Overall.Qual 34.808200475
## Gr.Liv.Area         Gr.Liv.Area 12.643331985
## Neighborhood       Neighborhood 12.105262031
## Garage.Cars         Garage.Cars  4.257582148
## Total.Bsmt.SF     Total.Bsmt.SF  3.995380545
## X1st.Flr.SF         X1st.Flr.SF  3.747045021
## Bsmt.Qual             Bsmt.Qual  3.739110019
## BsmtFin.SF.1       BsmtFin.SF.1  2.677821344
## Lot.Area               Lot.Area  1.950628644
## MS.SubClass         MS.SubClass  1.520585886
## Kitchen.Qual       Kitchen.Qual  1.320791229
## Fireplace.Qu       Fireplace.Qu  1.219059553
## Full.Bath             Full.Bath  1.182898510
## Garage.Area         Garage.Area  1.139124497
## Mas.Vnr.Area       Mas.Vnr.Area  0.826789958
## Year.Remod.Add   Year.Remod.Add  0.820630187
## X2nd.Flr.SF         X2nd.Flr.SF  0.760149054
## Bsmt.Unf.SF         Bsmt.Unf.SF  0.718080229
## Overall.Cond       Overall.Cond  0.653002747
## Open.Porch.SF     Open.Porch.SF  0.637107445
## Garage.Type         Garage.Type  0.602205812
## Bsmt.Exposure     Bsmt.Exposure  0.531086189
## Exterior.1st       Exterior.1st  0.523098462
## Exterior.2nd       Exterior.2nd  0.517446569
## Sale.Condition   Sale.Condition  0.512767722
## BsmtFin.Type.1   BsmtFin.Type.1  0.456254417
## ï..Order               ï..Order  0.449359168
## PID                         PID  0.433523464
## Screen.Porch       Screen.Porch  0.416791094
## Fireplaces           Fireplaces  0.403590429
## Garage.Finish     Garage.Finish  0.384336257
## Lot.Frontage       Lot.Frontage  0.370118564
## Wood.Deck.SF       Wood.Deck.SF  0.335526343
## Year.Built           Year.Built  0.292736967
## Mo.Sold                 Mo.Sold  0.277257682
## Sale.Type             Sale.Type  0.247590611
## TotRms.AbvGrd     TotRms.AbvGrd  0.218180215
## Condition.1         Condition.1  0.209186725
## Land.Contour       Land.Contour  0.198057832
## Functional           Functional  0.167000149
## Garage.Yr.Blt     Garage.Yr.Blt  0.159600975
## Central.Air         Central.Air  0.138998258
## Mas.Vnr.Type       Mas.Vnr.Type  0.110572562
## Lot.Config           Lot.Config  0.102010373
## Bsmt.Full.Bath   Bsmt.Full.Bath  0.097260912
## Enclosed.Porch   Enclosed.Porch  0.083749024
## Roof.Style           Roof.Style  0.070094375
## Exter.Qual           Exter.Qual  0.069644306
## Heating.QC           Heating.QC  0.063142724
## BsmtFin.SF.2       BsmtFin.SF.2  0.058446005
## Roof.Matl             Roof.Matl  0.056409332
## Paved.Drive         Paved.Drive  0.053531163
## Half.Bath             Half.Bath  0.053516295
## Bedroom.AbvGr     Bedroom.AbvGr  0.053327575
## BsmtFin.Type.2   BsmtFin.Type.2  0.046058207
## Condition.2         Condition.2  0.045488993
## X3Ssn.Porch         X3Ssn.Porch  0.042513392
## Exter.Cond           Exter.Cond  0.038467280
## Bsmt.Cond             Bsmt.Cond  0.037880977
## Alley                     Alley  0.035289364
## House.Style         House.Style  0.034986855
## MS.Zoning             MS.Zoning  0.033099732
## Lot.Shape             Lot.Shape  0.031841761
## Low.Qual.Fin.SF Low.Qual.Fin.SF  0.021736864
## Land.Slope           Land.Slope  0.020839394
## Garage.Qual         Garage.Qual  0.020412998
## Fence                     Fence  0.018490121
## Bldg.Type             Bldg.Type  0.017987867
## Foundation           Foundation  0.016028787
## Pool.Area             Pool.Area  0.014424984
## Bsmt.Half.Bath   Bsmt.Half.Bath  0.014394604
## Pool.QC                 Pool.QC  0.012691056
## Heating                 Heating  0.012542248
## Garage.Cond         Garage.Cond  0.011912206
## Misc.Val               Misc.Val  0.011383632
## Electrical           Electrical  0.009021572
## Misc.Feature       Misc.Feature  0.008516597
## Kitchen.AbvGr     Kitchen.AbvGr  0.003094526
## Yr.Sold                 Yr.Sold  0.001895929
## Street                   Street  0.000000000
## Utilities             Utilities  0.000000000

ii). Relative Influence Chart

for(.x in 1:5) {
  plot(boost_model, i = summary(boost_model)[.x, 'var'])
}

boost_pred = predict(boost_model, 
                     newdata = housing.factors[housing.factors$Yr.Sold == 2010, ],
                     n.trees = 5000)

## Warning in predict.gbm(boost_model, newdata =
## housing.factors[housing.factors$Yr.Sold == : NAs introduced by coercion

3. Performance Evaluation

a). Performance Metrics Function

# Create performance_metrics function
performance_metrics = function(actual = housing.factors[housing.factors$Yr.Sold == 2010, 'SalePrice'], predicted, plot = T, by_neighborhood = F) {
  # Check that actual and predicted values are the same length
  if(length(actual) != length(predicted)) {
    message("'actual' and 'predicted' vectors must be the same length.")
  } else {
    # Compute metrics (MSE, RMSE, MAE, relative error)
    # Including by neighborhood
    if(by_neighborhood) {
      metrics = tibble(
        neighborhood = housing.factors[housing.factors$Yr.Sold == 2010, 'Neighborhood'],
        actual = actual,
        predicted = as.numeric(predicted),
        mse = (actual - predicted)^2,
        mae = abs(actual - predicted),
        rel_error = (predicted - actual) / actual
      ) %>% 
        group_by(neighborhood) %>% 
        summarize(across(mse:rel_error, mean)) %>% 
        ungroup()
      
      # Plot
      barplot = ggplot(data = pivot_longer(metrics, cols = mse:rel_error,
                                           names_to = 'performance_metric',
                                           values_to = 'metric_score'),
                    aes(x = performance_metric, y = metric_score)) + 
        geom_bar(stat = 'identity') + 
        geom_text(aes(label = round(metric_score, 3))) + 
        xlab("Metric") +
        ylab("Score") + 
        facet_wrap(~neighborhood) + 
        theme_bw()
      scatter = ggplot(data = tibble(
        neighborhood = housing.factors[housing.factors$Yr.Sold == 2010, 'Neighborhood'],
        actual = actual, 
        predicted = predicted), 
        aes(x = actual, y = predicted)) + 
        geom_point(aes(size = abs(actual - predicted)), alpha = 0.4) + 
        xlab("Actual") + 
        ylab("Predicted") + 
        facet_wrap('neighborhood') +
        geom_abline(slope = 1, intercept = 0, col = 'red') + 
        theme_bw()
    } else {
      # Compute error and create data frame
      mse = mean((actual - predicted)^2)
      mae = mean(abs(actual - predicted))
      rel_error = mean((predicted - actual) / actual)
      metrics = tibble(mse = mse, mae = mae, rel_error = rel_error)
      
      # Plot
      barplot = ggplot(data = tibble(mse, mae, rel_error) %>% 
                      pivot_longer(cols = everything(),
                                   names_to = 'performance_metric',
                                   values_to = 'metric_score'),
                    aes(x = performance_metric, y = metric_score)) + 
        geom_bar(stat = 'identity') + 
        geom_text(aes(label = round(metric_score, 3))) + 
        xlab("Metric") +
        ylab("Score") + 
        theme_bw()
      scatter = ggplot(data = tibble(actual = actual, 
                                     predicted = predicted), 
                       aes(x = actual, y = predicted)) + 
        geom_point(aes(size = abs(actual - predicted)), alpha = 0.4) + 
        xlab("Actual") + 
        ylab("Predicted") + 
        geom_abline(slope = 1, intercept = 0, col = 'red') + 
        theme_bw()
    }
    
    # Return objects
    if(plot) {
      return(list(metrics = metrics, barplot = barplot, scatter = scatter))
    } else {
      return(list(metrics = metrics))
    }
  }
}

b). Comparing Accuracy of Prediction Estimates Against Actual Values in 2010.

# Use performance_metrics function defined above for all models
map(list(forward_pred = forward_pred, backward_pred = backward_pred,
         lasso_pred = lasso_pred, boost_pred = boost_pred, gam_pred = gam_pred),
    ~performance_metrics(predicted = .x))

## $forward_pred
## $forward_pred$metrics
## # A tibble: 1 x 3
##          mse    mae rel_error
##        <dbl>  <dbl>     <dbl>
## 1 604242156. 18025.    0.0186
## 
## $forward_pred$barplot

## 
## $forward_pred$scatter

## 
## 
## $backward_pred
## $backward_pred$metrics
## # A tibble: 1 x 3
##          mse    mae rel_error
##        <dbl>  <dbl>     <dbl>
## 1 696652643. 18607.    0.0317
## 
## $backward_pred$barplot

## 
## $backward_pred$scatter

## 
## 
## $lasso_pred
## $lasso_pred$metrics
## # A tibble: 1 x 3
##          mse    mae rel_error
##        <dbl>  <dbl>     <dbl>
## 1 730008265. 18930.    0.0466
## 
## $lasso_pred$barplot

## 
## $lasso_pred$scatter

## 
## 
## $boost_pred
## $boost_pred$metrics
## # A tibble: 1 x 3
##          mse    mae rel_error
##        <dbl>  <dbl>     <dbl>
## 1 987528868. 22644.     0.105
## 
## $boost_pred$barplot

## 
## $boost_pred$scatter

## 
## 
## $gam_pred
## $gam_pred$metrics
## # A tibble: 1 x 3
##          mse    mae rel_error
##        <dbl>  <dbl>     <dbl>
## 1 931733297. 21821.    0.0593
## 
## $gam_pred$barplot

## 
## $gam_pred$scatter

The Forward Stepwise model has the lowest MSE, MAE, and Relative Error.

c). Home Features Relation to the Model

i). Home Features That are Most Predictive of Sales Price.

#Code Here

ii). How do the Above Features Relate to Sales Price?

#Code Here

4). The Model’s accuracy across Neighbourhoods

# map(list(forward_pred = forward_pred, backward_pred = backward_pred,
#          lasso_pred = lasso_pred, boost_pred = boost_pred),
#     ~performance_metrics(predicted = .x, by_neighborhood = T))

5). Renovation Value Calculator (Evan and Anthony)

a). Creating the Calculator

I am going to write a bit about the calculator

What it does

Data sources:

Room Renovation Costs Business Insider

Roof Renovation Cost Super Storm Restoration

reno_value = function(upgrade = c('add_full_bathroom', 'remodel_kitchen',
                                  'finish_basement', 'replace_roof'),
                      budget = c('medium', 'low', 'high')) {

  # # Confirm upgrade and budget args; otherwise throw an error
  upgrade = tryCatch(
    match.arg(upgrade, choices = c('add_full_bathroom', 'remodel_kitchen',
                                  'finish_basement', 'replace_roof'),
                      several.ok = T),
    error = identity
  )
  budget = tryCatch(
    match.arg(budget, choices = c('low', 'medium', 'high'), several.ok = F),
    error = identity
  )
  
  # Handle errors
  if(str_detect(upgrade, "Error") | str_detect(budget, "Error")) {
      suppressWarnings(return(message(upgrade)))
      break()
  } else {
    # Update data based on stated upgrades
    remodeled_housing = mutate(housing, Reno.Cost = 0)
    
    # Add bathroom
    if('add_full_bathroom' %in% upgrade) {
      remodeled_housing = mutate(
        remodeled_housing,
        budget = budget,
        Reno.Cost = case_when(
          budget == 'low' ~ Reno.Cost + 5957,
          budget == 'medium' ~ Reno.Cost + 10349,
          budget == 'high' ~ Reno.Cost + 14833,
          T ~ Reno.Cost
        ),
        PreReno.Full.Bath = Full.Bath,
        Full.Bath = Full.Bath + 1,
        Year.Remod.Add = 2010
      )
    }
    
    # Remodel kitchen
    if('remodel_kitchen' %in% upgrade) {
      message('Note: Remodeling kitchens that are already of excellent quality (i.e., "Ex") will not increase the estimated sale price.')
      remodeled_housing = mutate(
        remodeled_housing,
        Reno.Cost = case_when(
          Kitchen.Qual == 'Ex' ~ Reno.Cost,
          budget == 'low' ~ Reno.Cost + 12557,
          budget == 'medium' ~ Reno.Cost + 23556,
          budget == 'high' ~ Reno.Cost + 34789,
          T ~ Reno.Cost
        ),
        PreReno.Kitchen.Qual = Kitchen.Qual,
        Kitchen.Qual = case_when(
          budget == 'low' ~ case_when(
            Kitchen.Qual %in% c('Gd', 'Ex') ~ 'Ex',
            Kitchen.Qual == 'TA' ~ 'Gd',
            Kitchen.Qual == 'Fa' ~ 'TA',
            Kitchen.Qual == 'Po' ~ 'Fa'
          ),
          budget == 'medium' ~ case_when(
            Kitchen.Qual %in% c('TA', 'Gd', 'Ex') ~ 'Ex',
            Kitchen.Qual == 'Fa' ~ 'Gd',
            Kitchen.Qual == 'Po' ~ 'TA'
          ),
          budget == 'high' ~ case_when(
            Kitchen.Qual %in% c('Fa', 'TA', 'Gd', 'Ex') ~ 'Ex',
            Kitchen.Qual == 'Po' ~ 'Gd'
          ),
          T ~ as.character(Kitchen.Qual)
        ) %>% factor(levels = levels(housing.factors$Kitchen.Qual)),
        Year.Remod.Add = 2010
      )
    }
    
    # Finish basement
    if('finish_basement' %in% upgrade) {
      message('Note: Properties without a basement obviously cannot have finished basements, so this renovation will not increase their estimated sale price.')
      remodeled_housing = mutate(
        remodeled_housing,
        Reno.Cost = case_when(
          Bsmt.Cond %in% c("DNE", '') ~ Reno.Cost,
          budget == 'low' ~ Reno.Cost + 0.75 * 15000,
          budget == 'medium' ~ Reno.Cost + 15000,
          budget == 'high' ~ Reno.Cost + 1.25 * 15000,
          T ~ Reno.Cost
        ),
        PreReno.BsmtFin.Type.1 = BsmtFin.Type.1,
        BsmtFin.Type.1 = case_when(
          Bsmt.Cond %in% c("DNE", '') ~ as.character(BsmtFin.Type.1),
          budget == 'low' ~ "BLQ",
          budget == 'medium' ~ "ALQ",
          budget == 'high' ~ "GLQ",
          T ~ as.character(BsmtFin.Type.1)
        ) %>% factor(levels = levels(housing.factors$BsmtFin.Type.1)),
        PreReno.BsmtFin.SF.1 = BsmtFin.SF.1,
        BsmtFin.SF.1 = BsmtFin.SF.1 + Bsmt.Unf.SF,
        Year.Remod.Add = 2010
      )
    }
    
    # Replace roof
    if('replace_roof' %in% upgrade) {
      remodeled_housing = mutate(
        remodeled_housing,
        Reno.Cost = case_when(
          budget == 'low' ~ Reno.Cost + 5100,
          budget == 'medium' ~ Reno.Cost + 10000,
          budget == 'high' ~ Reno.Cost + 15000,
          T ~ Reno.Cost
        ),
        PreReno.Exter.Cond = Exter.Cond,
        Exter.Cond = case_when(
          budget == 'low' ~ case_when(
            Exter.Cond %in% c('Gd', 'Ex') ~ 'Ex',
            Exter.Cond == 'TA' ~ 'Gd',
            Exter.Cond == 'Fa' ~ 'TA',
            Exter.Cond == 'Po' ~ 'Fa'
          ),
          budget == 'medium' ~ case_when(
            Exter.Cond %in% c('TA', 'Gd', 'Ex') ~ 'Ex',
            Exter.Cond == 'Fa' ~ 'Gd',
            Exter.Cond == 'Po' ~ 'TA'
          ),
          budget == 'high' ~ case_when(
            Exter.Cond %in% c('Fa', 'TA', 'Gd', 'Ex') ~ 'Ex',
            Exter.Cond == 'Po' ~ 'Gd',
          ),
          T ~ as.character(Exter.Cond)
        ) %>% factor(levels = levels(housing.factors$Exter.Cond)),
        Year.Remod.Add = 2010
      )
    }
    
    # Predict based on new features
    costs_benefits = tibble(
      orig_predicted_sale_price = predict(
        lm(formula(paste('SalePrice ~', 
                         str_flatten(forward_predictors, "+"))), 
           data = housing.factors)
      ),
      new_predicted_sale_price = predict(
        lm(formula(paste('SalePrice ~', 
                         str_flatten(forward_predictors, "+"))), 
           data = remodeled_housing)
      ),
      remodeling_costs = remodeled_housing$Reno.Cost,
      net = new_predicted_sale_price - orig_predicted_sale_price - remodeling_costs
    ) 
    
    # Return costs and predictions
    # return(list(remodeled_housing = remodeled_housing,
    #             costs_benefits = costs_benefits))
    
    
    rem_housing_cols = c("ï..Order", "PID")
    if('add_full_bathroom' %in% upgrade) {
        rem_housing_cols = c(rem_housing_cols, "PreReno.Full.Bath", "Full.Bath")
    }
    if ('remodel_kitchen' %in% upgrade){
        rem_housing_cols = append(rem_housing_cols, c("PreReno.Kitchen.Qual", "Kitchen.Qual"))
    }
    if ('finish_basement' %in% upgrade){
       rem_housing_cols = c(rem_housing_cols, c("PreReno.BsmtFin.Type.1",
                                           "BsmtFin.Type.1",
                                           "PreReno.BsmtFin.SF.1","BsmtFin.SF.1"))
    }
    if('replace_roof' %in% upgrade) {
       rem_housing_cols = c(rem_housing_cols, "Exter.Cond")
    }
    
    rem_housing_cols = c(rem_housing_cols, c("Year.Remod.Add","SalePrice", "Reno.Cost"))

    return(list("remodeled_housing" = remodeled_housing[rem_housing_cols],
                "cost_benefits" = costs_benefits))                              
           
  }
}

b). Using the Renovation Calculator

#reno_value('add_full_bathroom', 'high')
#reno_value('add_full_bathroom', 'medium')
#reno_value('add_full_bathroom', 'low')

#reno_value('remodel_kitchen', 'high')
#reno_value('remodel_kitchen', 'medium')
#reno_value('remodel_kitchen', 'low')

#reno_value('replace_roof', 'high')
#reno_value('replace_roof', 'medium')
#reno_value('replace_roof', 'low')

#reno_value('finish_basement', 'high')
#reno_value('finish_basement', 'medium')
#reno_value('finish_basement', 'low')

#k.h <- reno_value('remodel_kitchen', 'high')
#reno_value('add_full_bathroom', 'medium')
#reno_value('low')

all.reno <- reno_value(c('add_full_bathroom','remodel_kitchen', 'replace_roof', 'finish_basement'),'low')

## Warning in if (str_detect(upgrade, "Error") | str_detect(budget, "Error")) {:
## the condition has length > 1 and only the first element will be used

## Note: Remodeling kitchens that are already of excellent quality (i.e., "Ex") will not increase the estimated sale price.

## Note: Properties without a basement obviously cannot have finished basements, so this renovation will not increase their estimated sale price.

all.reno$remodeled_housing

##      ï..Order        PID PreReno.Full.Bath Full.Bath PreReno.Kitchen.Qual
## 1           1  526301100                 1         2                   TA
## 2           2  526350040                 1         2                   TA
## 3           3  526351010                 1         2                   Gd
## 4           4  526353030                 2         3                   Ex
## 5           5  527105010                 2         3                   TA
## 6           6  527105030                 2         3                   Gd
## 7           7  527127150                 2         3                   Gd
## 8           8  527145080                 2         3                   Gd
## 9           9  527146030                 2         3                   Gd
## 10         10  527162130                 2         3                   Gd
## 11         11  527163010                 2         3                   TA
## 12         12  527165230                 2         3                   TA
## 13         13  527166040                 2         3                   TA
## 14         14  527180040                 1         2                   Gd
## 15         15  527182190                 1         2                   Gd
## 16         16  527216070                 3         4                   Ex
## 17         17  527225035                 2         3                   TA
## 18         18  527258010                 1         2                   Ex
## 19         19  527276150                 1         2                   TA
## 20         20  527302110                 2         3                   TA
## 21         21  527358140                 2         3                   TA
## 22         22  527358200                 2         3                   Gd
## 23         23  527368020                 2         3                   Gd
## 24         24  527402200                 1         2                   TA
## 25         25  527402250                 1         2                   TA
## 26         26  527403020                 1         2                   TA
## 27         27  527404120                 1         2                   TA
## 28         28  527425090                 1         2                   TA
## 29         29  527427230                 2         3                   Gd
## 30         30  527451180                 1         2                   TA
## 31         31  527451330                 1         2                   TA
## 32         32  527451410                 1         2                   TA
## 33         33  527452190                 2         3                   TA
## 34         34  527453130                 2         3                   Gd
## 35         35  527453150                 1         2                   TA
## 36         36  527454200                 2         3                   TA
## 37         37  528108120                 2         3                   Ex
## 38         38  528112020                 2         3                   Gd
## 39         39  528120060                 2         3                   Ex
## 40         40  528120090                 2         3                   Gd
## 41         41  528120100                 2         3                   Gd
## 42         42  528120120                 2         3                   Ex
## 43         43  528138020                 2         3                   Ex
## 44         44  528138060                 2         3                   Gd
## 45         45  528150070                 2         3                   Ex
## 46         46  528175010                 2         3                   Gd
## 47         47  528176010                 2         3                   Ex
## 48         48  528176070                 2         3                   Gd
## 49         49  528180070                 2         3                   Ex
## 50         50  528181050                 2         3                   Gd
## 51         51  528188120                 2         3                   Gd
## 52         52  528218150                 2         3                   Gd
## 53         53  528228285                 2         3                   Gd
## 54         54  528228440                 2         3                   Gd
## 55         55  528231020                 2         3                   Gd
## 56         56  528240070                 2         3                   Gd
## 57         57  528240130                 2         3                   Gd
## 58         58  528250100                 2         3                   TA
## 59         59  528292020                 2         3                   Gd
## 60         60  528328100                 2         3                   Gd
## 61         61  528344070                 2         3                   Gd
## 62         62  528358010                 2         3                   Gd
## 63         63  528363130                 2         3                   Gd
## 64         64  528382020                 2         3                   Gd
## 65         65  528382030                 2         3                   TA
## 66         66  528386040                 2         3                   Gd
## 67         67  528445060                 2         3                   Gd
## 68         68  528456160                 2         3                   Gd
## 69         69  528458070                 2         3                   Gd
## 70         70  528458110                 2         3                   Gd
## 71         71  528477080                 2         3                   Gd
## 72         72  528480090                 2         3                   Gd
## 73         73  531367050                 2         3                   Gd
## 74         74  531369060                 2         3                   Gd
## 75         75  531380080                 2         3                   Gd
## 76         76  531451110                 2         3                   TA
## 77         77  531451280                 2         3                   Gd
## 78         78  531452020                 2         3                   TA
## 79         79  531452050                 1         2                   TA
## 80         80  531452180                 2         3                   Gd
## 81         81  531453010                 2         3                   TA
## 82         82  531453040                 2         3                   TA
## 83         83  531477050                 1         2                   TA
## 84         84  532351140                 2         3                   TA
## 85         85  532354090                 1         2                   Gd
## 86         86  532376160                 1         2                   TA
## 87         87  532377060                 1         2                   TA
## 88         88  532377100                 1         2                   TA
## 89         89  532378110                 1         2                   TA
## 90         90  532479070                 2         3                   TA
## 91         91  533130020                 2         3                   Gd
## 92         92  533130130                 2         3                   Gd
## 93         93  533130160                 2         3                   Gd
## 94         94  533205060                 2         3                   Gd
## 95         95  533208090                 2         3                   Gd
## 96         96  533210060                 2         3                   Gd
## 97         97  533212010                 2         3                   Gd
## 98         98  533212020                 2         3                   Gd
## 99         99  533212060                 2         3                   Gd
## 100       100  533213030                 2         3                   Gd
## 101       101  533221090                 2         3                   Gd
## 102       102  533221110                 2         3                   Gd
## 103       103  533223020                 2         3                   Gd
## 104       104  533223100                 2         3                   Gd
## 105       105  533238045                 1         2                   Gd
## 106       106  533244030                 2         3                   Gd
## 107       107  533253060                 1         2                   Gd
## 108       108  533253210                 1         2                   Gd
## 109       109  533352170                 2         3                   Gd
## 110       110  534102025                 2         3                   Gd
## 111       111  534129040                 2         3                   TA
## 112       112  534151175                 2         3                   Gd
## 113       113  534152050                 2         3                   Gd
## 114       114  534152070                 3         4                   TA
## 115       115  534152100                 2         3                   TA
## 116       116  534176060                 1         2                   Gd
## 117       117  534176230                 1         2                   TA
## 118       118  534202160                 1         2                   TA
## 119       119  534251320                 1         2                   TA
## 120       120  534276360                 1         2                   TA
## 121       121  534401110                 1         2                   TA
## 122       122  534401140                 2         3                   Gd
## 123       123  534403360                 2         3                   TA
## 124       124  534403410                 1         2                   TA
## 125       125  534425310                 1         2                   Gd
## 126       126  534427010                 2         3                   TA
## 127       127  534430080                 1         2                   Gd
## 128       128  534431050                 2         3                   TA
## 129       129  534431070                 2         3                   TA
## 130       130  534450180                 1         2                   TA
## 131       131  534451150                 1         2                   Fa
## 132       132  534475100                 1         2                   TA
## 133       133  534476260                 1         2                   TA
## 134       134  534479320                 1         2                   TA
## 135       135  535101020                 1         2                   Gd
## 136       136  535106190                 2         3                   TA
## 137       137  535125010                 2         3                   TA
## 138       138  535126040                 2         3                   Gd
## 139       139  535152010                 2         3                   TA
## 140       140  535152050                 2         3                   Gd
## 141       141  535152130                 1         2                   TA
## 142       142  535152150                 1         2                   Gd
## 143       143  535152250                 1         2                   TA
## 144       144  535153070                 1         2                   TA
## 145       145  535154050                 1         2                   TA
## 146       146  535175070                 1         2                   TA
## 147       147  535175180                 1         2                   TA
## 148       148  535179020                 1         2                   TA
## 149       149  535180130                 1         2                   TA
## 150       150  535302080                 1         2                   Fa
## 151       151  535302200                 1         2                   TA
## 152       152  535304060                 1         2                   TA
## 153       153  535304180                 1         2                   Gd
## 154       154  535325400                 1         2                   TA
## 155       155  535327140                 1         2                   TA
## 156       156  535350030                 1         2                   TA
## 157       157  535350040                 1         2                   TA
## 158       158  535353190                 1         2                   TA
## 159       159  535377090                 0         1                   TA
## 160       160  535401080                 1         2                   Gd
## 161       161  535425010                 2         3                   Gd
## 162       162  535450210                 1         2                   TA
## 163       163  535453070                 1         2                   Gd
## 164       164  535454070                 2         3                   TA
## 165       165  535456110                 1         2                   Gd
## 166       166  535457010                 1         2                   TA
## 167       167  535457090                 1         2                   TA
## 168       168  535476350                 1         2                   TA
## 169       169  535477020                 1         2                   TA
## 170       170  902102100                 1         2                   TA
## 171       171  902104060                 1         2                   TA
## 172       172  902106130                 1         2                   TA
## 173       173  902106140                 1         2                   TA
## 174       174  902110090                 1         2                   Gd
## 175       175  902125080                 2         3                   TA
## 176       176  902125160                 1         2                   TA
## 177       177  902128170                 1         2                   Gd
## 178       178  902206040                 1         2                   TA
## 179       179  902206130                 1         2                   Fa
## 180       180  902206220                 1         2                   Gd
## 181       181  902206240                 1         2                   TA
## 182       182  902207130                 1         2                   TA
## 183       183  902207140                 1         2                   TA
## 184       184  902305110                 2         3                   Gd
## 185       185  902327040                 2         3                   TA
## 186       186  902329030                 3         4                   Gd
## 187       187  902401060                 2         3                   Fa
## 188       188  902402010                 1         2                   TA
## 189       189  902402130                 1         2                   TA
## 190       190  902402250                 2         3                   TA
## 191       191  902403070                 1         2                   TA
## 192       192  903204040                 1         2                   TA
## 193       193  903206120                 1         2                   Gd
## 194       194  903225150                 1         2                   Gd
## 195       195  903226160                 1         2                   TA
## 196       196  903227020                 1         2                   TA
## 197       197  903227150                 1         2                   Gd
## 198       198  903228150                 1         2                   TA
## 199       199  903232190                 1         2                   TA
## 200       200  903233120                 2         3                   TA
## 201       201  903234050                 1         2                   TA
## 202       202  903425110                 2         3                   TA
## 203       203  903426180                 1         2                   TA
## 204       204  903426200                 1         2                   Gd
## 205       205  903430080                 1         2                   TA
## 206       206  903450110                 1         2                   TA
## 207       207  903454060                 2         3                   Fa
## 208       208  903476030                 2         3                   Gd
## 209       209  904100140                 2         3                   TA
## 210       210  904101110                 2         3                   TA
## 211       211  904300150                 1         2                   Po
## 212       212  904302260                 1         2                   TA
## 213       213  904350045                 1         2                   TA
## 214       214  904351040                 1         2                   TA
## 215       215  904352190                 2         3                   TA
## 216       216  905101100                 1         2                   TA
## 217       217  905101300                 2         3                   TA
## 218       218  905101310                 2         3                   TA
## 219       219  905102060                 1         2                   TA
## 220       220  905103060                 1         2                   TA
## 221       221  905104210                 1         2                   TA
## 222       222  905105070                 1         2                   Gd
## 223       223  905105200                 1         2                   Gd
## 224       224  905106140                 1         2                   TA
## 225       225  905106170                 1         2                   TA
## 226       226  905107110                 1         2                   TA
## 227       227  905107250                 1         2                   TA
## 228       228  905107320                 2         3                   TA
## 229       229  905109130                 2         3                   Gd
## 230       230  905109170                 1         2                   TA
## 231       231  905201030                 1         2                   TA
## 232       232  905202090                 2         3                   Gd
## 233       233  905325030                 0         1                   Gd
## 234       234  905352140                 2         3                   Gd
## 235       235  905378040                 2         3                   Fa
## 236       236  905426060                 1         2                   TA
## 237       237  905426200                 1         2                   Gd
## 238       238  905451320                 1         2                   TA
## 239       239  905452110                 1         2                   TA
## 240       240  905452160                 1         2                   TA
## 241       241  905453040                 2         3                   Gd
## 242       242  905453080                 1         2                   Gd
## 243       243  905475510                 2         3                   TA
## 244       244  905478190                 1         2                   Gd
## 245       245  906201030                 2         3                   Gd
## 246       246  906201120                 1         2                   Gd
## 247       247  906204230                 2         3                   Gd
## 248       248  906223090                 2         3                   Gd
## 249       249  906225210                 1         2                   Gd
## 250       250  906378100                 2         3                   Gd
## 251       251  906380190                 2         3                   Gd
## 252       252  906385010                 2         3                   Gd
## 253       253  906385020                 2         3                   Gd
## 254       254  906402200                 3         4                   Gd
## 255       255  906425045                 2         3                   TA
## 256       256  906477110                 1         2                   TA
## 257       257  907125090                 1         2                   TA
## 258       258  907180050                 2         3                   TA
## 259       259  907185060                 2         3                   Gd
## 260       260  907200280                 1         2                   TA
## 261       261  907200290                 1         2                   TA
## 262       262  907200340                 1         2                   TA
## 263       263  907203070                 1         2                   TA
## 264       264  907250030                 2         3                   Gd
## 265       265  907252120                 2         3                   Gd
## 266       266  907262050                 2         3                   Gd
## 267       267  907280040                 2         3                   Gd
## 268       268  907290040                 2         3                   Gd
## 269       269  907290170                 1         2                   Gd
## 270       270  907290240                 1         2                   Gd
## 271       271  907401090                 2         3                   Gd
## 272       272  907410080                 2         3                   Gd
## 273       273  907414030                 2         3                   Gd
## 274       274  908102060                 1         2                   TA
## 275       275  908102110                 1         2                   TA
## 276       276  908102130                 2         3                   TA
## 277       277  908102170                 1         2                   TA
## 278       278  908102300                 1         2                   Fa
## 279       279  908103350                 1         2                   TA
## 280       280  908152080                 1         2                   TA
## 281       281  908203100                 1         2                   TA
## 282       282  908208020                 2         3                   TA
## 283       283  908225320                 1         2                   TA
## 284       284  908226130                 1         2                   Fa
## 285       285  908275300                 1         2                   TA
## 286       286  909100080                 2         3                   Fa
## 287       287  909100110                 1         2                   Fa
## 288       288  909101070                 1         2                   TA
## 289       289  909176140                 2         3                   Gd
## 290       290  909176150                 1         2                   TA
## 291       291  909177100                 3         4                   TA
## 292       292  909250030                 1         2                   TA
## 293       293  909250060                 2         3                   Gd
## 294       294  909281080                 1         2                   TA
## 295       295  909426080                 2         3                   TA
## 296       296  909427230                 2         3                   Gd
## 297       297  909428280                 2         3                   Ex
## 298       298  909452114                 2         3                   Gd
## 299       299  909455030                 1         2                   Gd
## 300       300  909455040                 2         3                   Gd
## 301       301  909475140                 2         3                   TA
## 302       302  910202060                 1         2                   Gd
## 303       303  910203250                 1         2                   TA
## 304       304  910205120                 1         2                   TA
## 305       305  911128180                 1         2                   TA
## 306       306  911202100                 1         2                   TA
## 307       307  911204090                 1         2                   Fa
## 308       308  911204100                 1         2                   TA
## 309       309  911370510                 2         3                   Gd
## 310       310  914467040                 2         3                   Gd
## 311       311  914475090                 2         3                   Gd
## 312       312  914476520                 2         3                   Gd
## 313       313  914478045                 1         2                   TA
## 314       314  914478110                 3         4                   TA
## 315       315  916125360                 1         2                   TA
## 316       316  916386010                 2         3                   Gd
## 317       317  916386020                 2         3                   Gd
## 318       318  916386060                 2         3                   TA
## 319       319  916386090                 2         3                   Ex
## 320       320  916455170                 2         3                   Gd
## 321       321  916475110                 2         3                   Gd
## 322       322  921128020                 2         3                   Ex
## 323       323  923201020                 1         2                   TA
## 324       324  923202105                 2         3                   Gd
## 325       325  923204150                 2         3                   TA
## 326       326  923205015                 2         3                   TA
## 327       327  923225300                 1         2                   TA
## 328       328  923225390                 1         2                   TA
## 329       329  923225440                 1         2                   TA
## 330       330  923226250                 1         2                   TA
## 331       331  923226320                 1         2                   TA
## 332       332  923228270                 1         2                   TA
## 333       333  923228370                 1         2                   TA
## 334       334  923230190                 1         2                   TA
## 335       335  923251080                 1         2                   TA
## 336       336  923276030                 1         2                   Gd
## 337       337  923276250                 4         5                   TA
## 338       338  923426070                 1         2                   TA
## 339       339  924100050                 2         3                   TA
## 340       340  924151040                 2         3                   Gd
## 341       341  924152030                 2         3                   Gd
## 342       342  526302110                 1         2                   TA
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## 1664     1664  527402150                 1         2                   TA
## 1665     1665  527402240                 1         2                   Gd
## 1666     1666  527403310                 1         2                   TA
## 1667     1667  527404050                 1         2                   Ex
## 1668     1668  527404100                 1         2                   TA
## 1669     1669  527404140                 1         2                   TA
## 1670     1670  527404150                 1         2                   TA
## 1671     1671  527425025                 1         2                   TA
## 1672     1672  527425140                 1         2                   TA
## 1673     1673  527427090                 1         2                   TA
## 1674     1674  527427160                 2         3                   Gd
## 1675     1675  527427200                 2         3                   Gd
## 1676     1676  527450030                 1         2                   TA
## 1677     1677  527450150                 1         2                   TA
## 1678     1678  527450220                 1         2                   Ex
## 1679     1679  527451020                 2         3                   TA
## 1680     1680  527451170                 1         2                   TA
## 1681     1681  527452100                 2         3                   TA
## 1682     1682  527453010                 2         3                   Gd
## 1683     1683  527455030                 2         3                   TA
## 1684     1684  527455250                 1         2                   TA
## 1685     1685  528102050                 2         3                   Ex
## 1686     1686  528102090                 2         3                   Gd
## 1687     1687  528102100                 2         3                   Gd
## 1688     1688  528102120                 2         3                   Gd
## 1689     1689  528102130                 2         3                   Ex
## 1690     1690  528104010                 2         3                   Gd
## 1691     1691  528106040                 2         3                   Ex
## 1692     1692  528106050                 2         3                   Ex
## 1693     1693  528106060                 2         3                   Ex
## 1694     1694  528106110                 2         3                   Ex
## 1695     1695  528108160                 2         3                   Gd
## 1696     1696  528110040                 2         3                   Ex
## 1697     1697  528110070                 2         3                   Gd
## 1698     1698  528110100                 2         3                   Ex
## 1699     1699  528112150                 2         3                   Gd
## 1700     1700  528114050                 2         3                   Gd
## 1701     1701  528118040                 2         3                   Ex
## 1702     1702  528118050                 2         3                   Ex
## 1703     1703  528120010                 2         3                   Gd
## 1704     1704  528120150                 2         3                   Gd
## 1705     1705  528142050                 2         3                   Ex
## 1706     1706  528144050                 1         2                   Ex
## 1707     1707  528150040                 2         3                   Ex
## 1708     1708  528150110                 2         3                   Ex
## 1709     1709  528150120                 2         3                   Gd
## 1710     1710  528166150                 2         3                   Gd
## 1711     1711  528168040                 2         3                   Ex
## 1712     1712  528172030                 2         3                   Ex
## 1713     1713  528172050                 2         3                   Gd
## 1714     1714  528172070                 2         3                   Gd
## 1715     1715  528172075                 2         3                   Gd
## 1716     1716  528174010                 2         3                   Gd
## 1717     1717  528174020                 1         2                   Gd
## 1718     1718  528174030                 1         2                   Gd
## 1719     1719  528174040                 2         3                   Gd
## 1720     1720  528181060                 2         3                   Gd
## 1721     1721  528181070                 2         3                   Gd
## 1722     1722  528181080                 2         3                   Gd
## 1723     1723  528186050                 2         3                   Ex
## 1724     1724  528186090                 2         3                   Ex
## 1725     1725  528186120                 2         3                   Ex
## 1726     1726  528186190                 2         3                   Gd
## 1727     1727  528188160                 2         3                   Gd
## 1728     1728  528218010                 3         4                   Gd
## 1729     1729  528218020                 2         3                   Gd
## 1730     1730  528218050                 2         3                   Gd
## 1731     1731  528218100                 2         3                   Gd
## 1732     1732  528221030                 2         3                   Gd
## 1733     1733  528221040                 2         3                   Gd
## 1734     1734  528221050                 2         3                   Gd
## 1735     1735  528221090                 2         3                   Gd
## 1736     1736  528222030                 2         3                   Gd
## 1737     1737  528222040                 2         3                   Gd
## 1738     1738  528222050                 2         3                   Gd
## 1739     1739  528222060                 2         3                   Gd
## 1740     1740  528222080                 2         3                   Gd
## 1741     1741  528222090                 2         3                   Gd
## 1742     1742  528228270                 2         3                   Gd
## 1743     1743  528228275                 0         1                   Gd
## 1744     1744  528228375                 2         3                   Gd
## 1745     1745  528228555                 2         3                   Gd
## 1746     1746  528231010                 2         3                   Gd
## 1747     1747  528231030                 2         3                   Gd
## 1748     1748  528235000                 2         3                   Gd
## 1749     1749  528235160                 2         3                   Gd
## 1750     1750  528235170                 2         3                   Gd
## 1751     1751  528240020                 2         3                   Gd
## 1752     1752  528250010                 2         3                   Gd
## 1753     1753  528250070                 2         3                   Gd
## 1754     1754  528275035                 2         3                   TA
## 1755     1755  528275110                 2         3                   Gd
## 1756     1756  528280110                 2         3                   TA
## 1757     1757  528280150                 2         3                   TA
## 1758     1758  528290060                 2         3                   Gd
## 1759     1759  528290170                 2         3                   TA
## 1760     1760  528294010                 2         3                   TA
## 1761     1761  528320050                 3         4                   Ex
## 1762     1762  528322020                 2         3                   Gd
## 1763     1763  528326060                 2         3                   Gd
## 1764     1764  528327060                 2         3                   Ex
## 1765     1765  528340030                 2         3                   Gd
## 1766     1766  528344020                 2         3                   Gd
## 1767     1767  528348030                 2         3                   Gd
## 1768     1768  528351010                 3         4                   Ex
## 1769     1769  528354060                 2         3                   TA
## 1770     1770  528354110                 2         3                   Gd
## 1771     1771  528358040                 2         3                   Gd
## 1772     1772  528364110                 2         3                   Gd
## 1773     1773  528366050                 3         4                   Gd
## 1774     1774  528366070                 2         3                   Gd
## 1775     1775  528376010                 2         3                   Gd
## 1776     1776  528427040                 2         3                   Gd
## 1777     1777  528427100                 2         3                   Gd
## 1778     1778  528429090                 2         3                   Ex
## 1779     1779  528429110                 2         3                   Gd
## 1780     1780  528431030                 2         3                   Gd
## 1781     1781  528431040                 2         3                   Ex
## 1782     1782  528431050                 2         3                   Gd
## 1783     1783  528431110                 2         3                   Gd
## 1784     1784  528435010                 3         4                   Gd
## 1785     1785  528435040                 2         3                   Ex
## 1786     1786  528435060                 2         3                   Gd
## 1787     1787  528435070                 2         3                   Gd
## 1788     1788  528439040                 2         3                   Gd
## 1789     1789  528439050                 2         3                   Gd
## 1790     1790  528439080                 2         3                   Gd
## 1791     1791  528441080                 2         3                   Gd
## 1792     1792  528445020                 2         3                   Gd
## 1793     1793  528445070                 2         3                   Gd
## 1794     1794  528456190                 2         3                   Gd
## 1795     1795  528456230                 2         3                   Gd
## 1796     1796  528458080                 2         3                   Gd
## 1797     1797  528458090                 3         4                   Gd
## 1798     1798  528458120                 2         3                   Gd
## 1799     1799  528458130                 2         3                   Ex
## 1800     1800  528458150                 2         3                   Ex
## 1801     1801  528477020                 2         3                   Gd
## 1802     1802  528480020                 3         4                   Gd
## 1803     1803  528480180                 2         3                   Ex
## 1804     1804  528482010                 2         3                   Gd
## 1805     1805  528482030                 2         3                   Gd
## 1806     1806  528482090                 3         4                   Gd
## 1807     1807  531363020                 1         2                   TA
## 1808     1808  531363040                 1         2                   Gd
## 1809     1809  531375140                 1         2                   Gd
## 1810     1810  531376060                 2         3                   Gd
## 1811     1811  531380110                 2         3                   Gd
## 1812     1812  531384070                 2         3                   Gd
## 1813     1813  531385070                 2         3                   TA
## 1814     1814  531385130                 2         3                   Gd
## 1815     1815  531451030                 2         3                   Gd
## 1816     1816  531451150                 1         2                   TA
## 1817     1817  531453140                 1         2                   Gd
## 1818     1818  531477040                 2         3                   TA
## 1819     1819  532353120                 1         2                   TA
## 1820     1820  532354010                 1         2                   TA
## 1821     1821  532354060                 1         2                   TA
## 1822     1822  532354070                 1         2                   Gd
## 1823     1823  532376040                 1         2                   Fa
## 1824     1824  532376090                 1         2                   TA
## 1825     1825  532377050                 1         2                   TA
## 1826     1826  532377140                 1         2                   TA
## 1827     1827  532378240                 1         2                   TA
## 1828     1828  532476080                 2         3                   Gd
## 1829     1829  532477040                 2         3                   Gd
## 1830     1830  532479050                 1         2                   TA
## 1831     1831  532479120                 2         3                   TA
## 1832     1832  532479140                 1         2                   Gd
## 1833     1833  533120030                 2         3                   Gd
## 1834     1834  533130170                 2         3                   Gd
## 1835     1835  533205110                 2         3                   Gd
## 1836     1836  533206060                 2         3                   Gd
## 1837     1837  533206070                 2         3                   Gd
## 1838     1838  533208010                 2         3                   Gd
## 1839     1839  533208020                 2         3                   Gd
## 1840     1840  533208030                 2         3                   Gd
## 1841     1841  533208040                 1         2                   Gd
## 1842     1842  533208070                 2         3                   Gd
## 1843     1843  533213130                 2         3                   TA
## 1844     1844  533213140                 2         3                   TA
## 1845     1845  533221030                 2         3                   Gd
## 1846     1846  533221060                 2         3                   Gd
## 1847     1847  533221100                 2         3                   Gd
## 1848     1848  533223050                 2         3                   Gd
## 1849     1849  533236040                 2         3                   Gd
## 1850     1850  533241030                 2         3                   Gd
## 1851     1851  533242080                 2         3                   Gd
## 1852     1852  533242090                 2         3                   Gd
## 1853     1853  533244040                 2         3                   Gd
## 1854     1854  533250190                 1         2                   Gd
## 1855     1855  533251110                 2         3                   Gd
## 1856     1856  533251130                 1         2                   Gd
## 1857     1857  533252130                 2         3                   Gd
## 1858     1858  533253180                 1         2                   Gd
## 1859     1859  533254100                 2         3                   TA
## 1860     1860  533254130                 2         3                   TA
## 1861     1861  533350020                 2         3                   Gd
## 1862     1862  533352075                 2         3                   TA
## 1863     1863  534104090                 2         3                   Gd
## 1864     1864  534125120                 1         2                   TA
## 1865     1865  534127080                 2         3                   TA
## 1866     1866  534127140                 1         2                   TA
## 1867     1867  534127260                 1         2                   TA
## 1868     1868  534128090                 2         3                   Gd
## 1869     1869  534151090                 2         3                   Gd
## 1870     1870  534151180                 2         3                   Gd
## 1871     1871  534175010                 2         3                   TA
## 1872     1872  534176140                 2         3                   TA
## 1873     1873  534177210                 1         2                   TA
## 1874     1874  534178010                 1         2                   TA
## 1875     1875  534201040                 1         2                   Gd
## 1876     1876  534202030                 2         3                   TA
## 1877     1877  534204120                 1         2                   TA
## 1878     1878  534252040                 1         2                   TA
## 1879     1879  534252060                 2         3                   TA
## 1880     1880  534252070                 2         3                   TA
## 1881     1881  534252110                 1         2                   TA
## 1882     1882  534275170                 1         2                   TA
## 1883     1883  534275220                 1         2                   TA
## 1884     1884  534276070                 1         2                   TA
## 1885     1885  534276160                 1         2                   TA
## 1886     1886  534276180                 1         2                   Gd
## 1887     1887  534276290                 1         2                   TA
## 1888     1888  534278150                 1         2                   TA
## 1889     1889  534278170                 1         2                   TA
## 1890     1890  534278190                 1         2                   TA
## 1891     1891  534401120                 2         3                   TA
## 1892     1892  534401200                 2         3                   TA
## 1893     1893  534403040                 2         3                   Gd
## 1894     1894  534403290                 2         3                   TA
## 1895     1895  534403420                 1         2                   TA
## 1896     1896  534425015                 1         2                   Gd
## 1897     1897  534425080                 1         2                   Gd
## 1898     1898  534427140                 1         2                   Gd
## 1899     1899  534429030                 2         3                   TA
## 1900     1900  534430090                 1         2                   Gd
## 1901     1901  534431020                 1         2                   TA
## 1902     1902  534450090                 1         2                   Fa
## 1903     1903  534450110                 1         2                   Gd
## 1904     1904  534451020                 1         2                   Fa
## 1905     1905  534453080                 1         2                   TA
## 1906     1906  534475170                 1         2                   TA
## 1907     1907  534476080                 1         2                   TA
## 1908     1908  534478140                 2         3                   TA
## 1909     1909  534479120                 1         2                   TA
## 1910     1910  534479140                 1         2                   Gd
## 1911     1911  535101150                 2         3                   TA
## 1912     1912  535102010                 2         3                   TA
## 1913     1913  535105110                 1         2                   TA
## 1914     1914  535106140                 1         2                   TA
## 1915     1915  535106180                 1         2                   TA
## 1916     1916  535126180                 2         3                   TA
## 1917     1917  535151020                 1         2                   Gd
## 1918     1918  535151100                 1         2                   Fa
## 1919     1919  535151110                 1         2                   Gd
## 1920     1920  535152060                 1         2                   TA
## 1921     1921  535154080                 1         2                   TA
## 1922     1922  535155110                 1         2                   TA
## 1923     1923  535176070                 1         2                   TA
## 1924     1924  535177020                 1         2                   TA
## 1925     1925  535177110                 1         2                   TA
## 1926     1926  535179120                 1         2                   TA
## 1927     1927  535180030                 1         2                   TA
## 1928     1928  535181030                 2         3                   TA
## 1929     1929  535181140                 1         2                   TA
## 1930     1930  535300040                 1         2                   TA
## 1931     1931  535301060                 1         2                   Ex
## 1932     1932  535301160                 2         3                   TA
## 1933     1933  535302070                 1         2                   TA
## 1934     1934  535304170                 1         2                   TA
## 1935     1935  535305180                 1         2                   Gd
## 1936     1936  535325090                 1         2                   Gd
## 1937     1937  535325280                 1         2                   TA
## 1938     1938  535325320                 1         2                   Fa
## 1939     1939  535327160                 1         2                   TA
## 1940     1940  535327200                 1         2                   TA
## 1941     1941  535353050                 1         2                   TA
## 1942     1942  535353130                 1         2                   TA
## 1943     1943  535353160                 2         3                   TA
## 1944     1944  535354050                 1         2                   Gd
## 1945     1945  535354260                 1         2                   TA
## 1946     1946  535355020                 3         4                   Gd
## 1947     1947  535375130                 1         2                   TA
## 1948     1948  535376010                 1         2                   TA
## 1949     1949  535378080                 2         3                   TA
## 1950     1950  535379060                 2         3                   TA
## 1951     1951  535379110                 1         2                   Gd
## 1952     1952  535382150                 1         2                   Ex
## 1953     1953  535402140                 2         3                   TA
## 1954     1954  535402180                 1         2                   TA
## 1955     1955  535403030                 1         2                   TA
## 1956     1956  535426130                 1         2                   Fa
## 1957     1957  535450190                 1         2                   TA
## 1958     1958  535450220                 1         2                   TA
## 1959     1959  535450310                 2         3                   TA
## 1960     1960  535451040                 1         2                   TA
## 1961     1961  535451100                 1         2                   TA
## 1962     1962  535451110                 1         2                   Gd
## 1963     1963  535452060                 1         2                   TA
## 1964     1964  535453080                 1         2                   Gd
## 1965     1965  535453150                 1         2                   TA
## 1966     1966  535453180                 1         2                   TA
## 1967     1967  535457020                 1         2                   TA
## 1968     1968  535457040                 2         3                   TA
## 1969     1969  535457050                 1         2                   TA
## 1970     1970  535476360                 2         3                   Gd
## 1971     1971  535477130                 2         3                   TA
## 1972     1972  535477180                 1         2                   TA
## 1973     1973  535478040                 1         2                   TA
## 1974     1974  902100010                 1         2                   TA
## 1975     1975  902105110                 2         3                   TA
## 1976     1976  902106070                 1         2                   TA
## 1977     1977  902106120                 1         2                   Fa
## 1978     1978  902107050                 1         2                   TA
## 1979     1979  902110010                 1         2                   TA
## 1980     1980  902125120                 1         2                   TA
## 1981     1981  902128160                 1         2                   TA
## 1982     1982  902201090                 1         2                   Gd
## 1983     1983  902201130                 1         2                   TA
## 1984     1984  902202070                 1         2                   TA
## 1985     1985  902205020                 1         2                   TA
## 1986     1986  902205130                 1         2                   Fa
## 1987     1987  902206270                 2         3                   TA
## 1988     1988  902207010                 1         2                   Gd
## 1989     1989  902207150                 1         2                   TA
## 1990     1990  902300020                 2         3                   Gd
## 1991     1991  902300040                 1         2                   TA
## 1992     1992  902301030                 1         2                   Gd
## 1993     1993  902301130                 1         2                   TA
## 1994     1994  902302150                 2         3                   TA
## 1995     1995  902303100                 2         3                   TA
## 1996     1996  902304040                 2         3                   Fa
## 1997     1997  902305010                 1         2                   Gd
## 1998     1998  902330090                 2         3                   TA
## 1999     1999  902332030                 2         3                   TA
## 2000     2000  902401030                 2         3                   Gd
## 2001     2001  902404010                 1         2                   TA
## 2002     2002  902408080                 1         2                   TA
## 2003     2003  902427040                 1         2                   TA
## 2004     2004  902427140                 1         2                   TA
## 2005     2005  902427180                 2         3                   TA
## 2006     2006  903201090                 1         2                   TA
## 2007     2007  903204030                 1         2                   TA
## 2008     2008  903205085                 1         2                   TA
## 2009     2009  903206170                 1         2                   TA
## 2010     2010  903225040                 2         3                   TA
## 2011     2011  903227140                 1         2                   TA
## 2012     2012  903228080                 1         2                   TA
## 2013     2013  903231050                 1         2                   TA
## 2014     2014  903231090                 1         2                   TA
## 2015     2015  903231180                 1         2                   TA
## 2016     2016  903232100                 1         2                   TA
## 2017     2017  903233030                 1         2                   Gd
## 2018     2018  903233050                 1         2                   TA
## 2019     2019  903233140                 1         2                   TA
## 2020     2020  903233180                 1         2                   TA
## 2021     2021  903234160                 1         2                   TA
## 2022     2022  903236130                 2         3                   TA
## 2023     2023  903400040                 1         2                   TA
## 2024     2024  903401070                 1         2                   Gd
## 2025     2025  903425270                 1         2                   TA
## 2026     2026  903425280                 1         2                   TA
## 2027     2027  903426010                 1         2                   Gd
## 2028     2028  903427040                 2         3                   Gd
## 2029     2029  903430040                 2         3                   TA
## 2030     2030  903430050                 1         2                   TA
## 2031     2031  903450060                 1         2                   TA
## 2032     2032  903451110                 1         2                   Gd
## 2033     2033  903453080                 3         4                   TA
## 2034     2034  903454010                 1         2                   Gd
## 2035     2035  903454090                 1         2                   Gd
## 2036     2036  903456110                 1         2                   Gd
## 2037     2037  903457040                 1         2                   TA
## 2038     2038  903457130                 2         3                   TA
## 2039     2039  903458020                 1         2                   Fa
## 2040     2040  903458060                 1         2                   TA
## 2041     2041  903475040                 1         2                   TA
## 2042     2042  903475060                 1         2                   TA
## 2043     2043  903476100                 1         2                   TA
## 2044     2044  903484080                 2         3                   TA
## 2045     2045  904100100                 1         2                   TA
## 2046     2046  904101070                 3         4                   Ex
## 2047     2047  904301110                 1         2                   TA
## 2048     2048  904302010                 1         2                   TA
## 2049     2049  905100060                 1         2                   TA
## 2050     2050  905100080                 1         2                   TA
## 2051     2051  905101070                 1         2                   TA
## 2052     2052  905101200                 1         2                   TA
## 2053     2053  905102010                 2         3                   TA
## 2054     2054  905103110                 1         2                   TA
## 2055     2055  905104030                 1         2                   TA
## 2056     2056  905104090                 1         2                   TA
## 2057     2057  905104170                 1         2                   TA
## 2058     2058  905104240                 1         2                   TA
## 2059     2059  905105040                 1         2                   TA
## 2060     2060  905105170                 1         2                   TA
## 2061     2061  905105260                 1         2                   TA
## 2062     2062  905106150                 1         2                   TA
## 2063     2063  905107140                 1         2                   TA
## 2064     2064  905200010                 1         2                   Gd
## 2065     2065  905201080                 1         2                   TA
## 2066     2066  905225020                 3         4                   TA
## 2067     2067  905226050                 2         3                   Gd
## 2068     2068  905226080                 1         2                   Gd
## 2069     2069  905226130                 1         2                   Gd
## 2070     2070  905226170                 1         2                   TA
## 2071     2071  905228020                 1         2                   TA
## 2072     2072  905301050                 2         3                   Gd
## 2073     2073  905352010                 2         3                   TA
## 2074     2074  905352180                 2         3                   TA
## 2075     2075  905376090                 2         3                   Gd
## 2076     2076  905377020                 2         3                   TA
## 2077     2077  905377050                 1         2                   TA
## 2078     2078  905401020                 3         4                   Gd
## 2079     2079  905426010                 2         3                   Gd
## 2080     2080  905451390                 1         2                   Gd
## 2081     2081  905475270                 1         2                   TA
## 2082     2082  905475520                 1         2                   Gd
## 2083     2083  905476160                 2         3                   TA
## 2084     2084  905476170                 1         2                   TA
## 2085     2085  905476225                 2         3                   TA
## 2086     2086  905478140                 1         2                   TA
## 2087     2087  905478220                 1         2                   TA
## 2088     2088  905480090                 2         3                   TA
## 2089     2089  905480180                 1         2                   TA
## 2090     2090  906200230                 2         3                   Gd
## 2091     2091  906201022                 2         3                   Gd
## 2092     2092  906201023                 2         3                   Gd
## 2093     2093  906201200                 2         3                   Gd
## 2094     2094  906203140                 2         3                   Gd
## 2095     2095  906204140                 2         3                   Gd
## 2096     2096  906223040                 2         3                   Gd
## 2097     2097  906340080                 2         3                   Ex
## 2098     2098  906340090                 3         4                   Gd
## 2099     2099  906378120                 2         3                   Gd
## 2100     2100  906378150                 2         3                   Gd
## 2101     2101  906378170                 2         3                   Gd
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## 2525     2525  534126060                 3         4                   Gd
## 2526     2526  534127190                 2         3                   TA
## 2527     2527  534127270                 2         3                   TA
## 2528     2528  534128210                 2         3                   Gd
## 2529     2529  534129230                 1         2                   TA
## 2530     2530  534175100                 2         3                   TA
## 2531     2531  534176250                 1         2                   TA
## 2532     2532  534201130                 2         3                   TA
## 2533     2533  534201230                 1         2                   TA
## 2534     2534  534201250                 1         2                   TA
## 2535     2535  534201260                 1         2                   Gd
## 2536     2536  534201280                 1         2                   TA
## 2537     2537  534201300                 1         2                   TA
## 2538     2538  534202020                 1         2                   TA
## 2539     2539  534202180                 1         2                   TA
## 2540     2540  534226060                 1         2                   Gd
## 2541     2541  534250300                 2         3                   TA
## 2542     2542  534275010                 1         2                   TA
## 2543     2543  534276010                 1         2                   TA
## 2544     2544  534276230                 2         3                   TA
## 2545     2545  534400120                 2         3                   Gd
## 2546     2546  534403280                 1         2                   TA
## 2547     2547  534403400                 1         2                   TA
## 2548     2548  534403440                 1         2                   TA
## 2549     2549  534427090                 1         2                   TA
## 2550     2550  534428060                 1         2                   Ex
## 2551     2551  534429130                 1         2                   TA
## 2552     2552  534430050                 1         2                   TA
## 2553     2553  534430110                 1         2                   TA
## 2554     2554  534431030                 1         2                   TA
## 2555     2555  534451050                 1         2                   TA
## 2556     2556  534451120                 1         2                   Fa
## 2557     2557  534451130                 1         2                   TA
## 2558     2558  534453150                 1         2                   TA
## 2559     2559  534455080                 1         2                   TA
## 2560     2560  534475160                 1         2                   TA
## 2561     2561  534476100                 1         2                   TA
## 2562     2562  534477030                 2         3                   TA
## 2563     2563  534479130                 1         2                   Fa
## 2564     2564  534479240                 1         2                   TA
## 2565     2565  534479300                 1         2                   TA
## 2566     2566  535101110                 2         3                   TA
## 2567     2567  535103070                 1         2                   TA
## 2568     2568  535105160                 1         2                   TA
## 2569     2569  535125060                 2         3                   Gd
## 2570     2570  535150240                 1         2                   TA
## 2571     2571  535150300                 2         3                   Gd
## 2572     2572  535151080                 1         2                   TA
## 2573     2573  535151130                 1         2                   TA
## 2574     2574  535152070                 1         2                   TA
## 2575     2575  535152280                 1         2                   TA
## 2576     2576  535176050                 1         2                   TA
## 2577     2577  535177100                 1         2                   TA
## 2578     2578  535178100                 1         2                   TA
## 2579     2579  535179050                 1         2                   TA
## 2580     2580  535180020                 1         2                   TA
## 2581     2581  535180070                 1         2                   Gd
## 2582     2582  535301010                 1         2                   TA
## 2583     2583  535301150                 1         2                   Gd
## 2584     2584  535303050                 1         2                   TA
## 2585     2585  535304020                 1         2                   TA
## 2586     2586  535305120                 1         2                   Gd
## 2587     2587  535325130                 1         2                   TA
## 2588     2588  535325340                 1         2                   TA
## 2589     2589  535325350                 1         2                   TA
## 2590     2590  535325450                 1         2                   TA
## 2591     2591  535325460                 1         2                   TA
## 2592     2592  535327210                 1         2                   TA
## 2593     2593  535353180                 2         3                   TA
## 2594     2594  535354130                 1         2                   TA
## 2595     2595  535355100                 2         3                   TA
## 2596     2596  535375040                 1         2                   Gd
## 2597     2597  535376090                 1         2                   Gd
## 2598     2598  535376100                 1         2                   TA
## 2599     2599  535377070                 1         2                   TA
## 2600     2600  535377100                 1         2                   Fa
## 2601     2601  535379100                 1         2                   TA
## 2602     2602  535380010                 2         3                   TA
## 2603     2603  535380130                 1         2                   TA
## 2604     2604  535381060                 1         2                   TA
## 2605     2605  535382020                 2         3                   TA
## 2606     2606  535382130                 2         3                   Gd
## 2607     2607  535401140                 2         3                   TA
## 2608     2608  535402070                 1         2                   TA
## 2609     2609  535402100                 1         2                   TA
## 2610     2610  535402220                 1         2                   Gd
## 2611     2611  535402230                 1         2                   TA
## 2612     2612  535403040                 1         2                   TA
## 2613     2613  535403150                 1         2                   TA
## 2614     2614  535403200                 1         2                   Gd
## 2615     2615  535404080                 1         2                   TA
## 2616     2616  535425040                 2         3                   TA
## 2617     2617  535425050                 2         3                   Gd
## 2618     2618  535425080                 3         4                   TA
## 2619     2619  535426195                 1         2                   TA
## 2620     2620  535450100                 1         2                   Gd
## 2621     2621  535450180                 1         2                   TA
## 2622     2622  535451190                 1         2                   TA
## 2623     2623  535451210                 1         2                   TA
## 2624     2624  535453160                 1         2                   TA
## 2625     2625  535454030                 2         3                   TA
## 2626     2626  535454050                 2         3                   TA
## 2627     2627  535454060                 2         3                   TA
## 2628     2628  535456010                 2         3                   TA
## 2629     2629  535456020                 1         2                   TA
## 2630     2630  535457070                 1         2                   TA
## 2631     2631  535477060                 1         2                   TA
## 2632     2632  535478010                 1         2                   TA
## 2633     2633  535478070                 1         2                   TA
## 2634     2634  535478090                 1         2                   TA
## 2635     2635  535478110                 1         2                   TA
## 2636     2636  902100110                 2         3                   TA
## 2637     2637  902100130                 1         2                   TA
## 2638     2638  902101050                 1         2                   TA
## 2639     2639  902103090                 1         2                   Fa
## 2640     2640  902104020                 1         2                   Gd
## 2641     2641  902106040                 1         2                   Ex
## 2642     2642  902106090                 1         2                   TA
## 2643     2643  902108060                 1         2                   Gd
## 2644     2644  902109010                 1         2                   Gd
## 2645     2645  902110120                 2         3                   Fa
## 2646     2646  902110130                 1         2                   TA
## 2647     2647  902111010                 1         2                   TA
## 2648     2648  902125020                 1         2                   Ex
## 2649     2649  902128020                 1         2                   TA
## 2650     2650  902128100                 1         2                   TA
## 2651     2651  902134060                 1         2                   TA
## 2652     2652  902204060                 1         2                   TA
## 2653     2653  902204120                 1         2                   Gd
## 2654     2654  902206020                 1         2                   TA
## 2655     2655  902206090                 1         2                   TA
## 2656     2656  902207080                 1         2                   TA
## 2657     2657  902207110                 1         2                   Fa
## 2658     2658  902301120                 2         3                   Fa
## 2659     2659  902305090                 2         3                   TA
## 2660     2660  902325050                 1         2                   TA
## 2661     2661  902325100                 2         3                   TA
## 2662     2662  902325160                 1         2                   TA
## 2663     2663  902328100                 1         2                   TA
## 2664     2664  902329070                 1         2                   TA
## 2665     2665  902329090                 1         2                   Gd
## 2666     2666  902400090                 1         2                   TA
## 2667     2667  902400110                 2         3                   Ex
## 2668     2668  902401090                 2         3                   TA
## 2669     2669  902406030                 1         2                   TA
## 2670     2670  902456015                 1         2                   Fa
## 2671     2671  903200050                 1         2                   TA
## 2672     2672  903202120                 1         2                   Fa
## 2673     2673  903206160                 1         2                   TA
## 2674     2674  903225090                 2         3                   TA
## 2675     2675  903229040                 1         2                   TA
## 2676     2676  903231070                 1         2                   TA
## 2677     2677  903231190                 1         2                   TA
## 2678     2678  903231220                 1         2                   TA
## 2679     2679  903231240                 1         2                   TA
## 2680     2680  903232170                 1         2                   TA
## 2681     2681  903233100                 1         2                   TA
## 2682     2682  903233220                 1         2                   Gd
## 2683     2683  903234030                 1         2                   Gd
## 2684     2684  903235020                 1         2                   TA
## 2685     2685  903236200                 1         2                   TA
## 2686     2686  903400030                 1         2                   TA
## 2687     2687  903425190                 2         3                   TA
## 2688     2688  903425340                 1         2                   TA
## 2689     2689  903430090                 1         2                   Gd
## 2690     2690  903430130                 1         2                   Fa
## 2691     2691  903451050                 2         3                   Fa
## 2692     2692  903452090                 1         2                   TA
## 2693     2693  903454020                 1         2                   Gd
## 2694     2694  903454080                 2         3                   TA
## 2695     2695  903455090                 1         2                   Gd
## 2696     2696  903456060                 1         2                   TA
## 2697     2697  903456090                 1         2                   TA
## 2698     2698  903458010                 1         2                   TA
## 2699     2699  904100030                 1         2                   TA
## 2700     2700  904100090                 2         3                   TA
## 2701     2701  904100170                 1         2                   TA
## 2702     2702  904101040                 1         2                   Gd
## 2703     2703  904301410                 1         2                   TA
## 2704     2704  904302020                 1         2                   TA
## 2705     2705  904302030                 2         3                   TA
## 2706     2706  905100030                 1         2                   TA
## 2707     2707  905101330                 2         3                   TA
## 2708     2708  905101450                 1         2                   TA
## 2709     2709  905103130                 1         2                   TA
## 2710     2710  905103140                 1         2                   TA
## 2711     2711  905103180                 1         2                   TA
## 2712     2712  905105010                 1         2                   TA
## 2713     2713  905106210                 1         2                   TA
## 2714     2714  905107070                 1         2                   TA
## 2715     2715  905107220                 1         2                   TA
## 2716     2716  905107240                 2         3                   TA
## 2717     2717  905107300                 1         2                   TA
## 2718     2718  905108090                 2         3                   TA
## 2719     2719  905108120                 2         3                   TA
## 2720     2720  905200280                 2         3                   Gd
## 2721     2721  905200290                 2         3                   TA
## 2722     2722  905200340                 1         2                   TA
## 2723     2723  905200380                 1         2                   Fa
## 2724     2724  905200490                 0         1                   TA
## 2725     2725  905201090                 1         2                   TA
## 2726     2726  905202190                 1         2                   TA
## 2727     2727  905202210                 1         2                   TA
## 2728     2728  905225080                 2         3                   TA
## 2729     2729  905300010                 1         2                   TA
## 2730     2730  905300080                 1         2                   TA
## 2731     2731  905351045                 2         3                   Gd
## 2732     2732  905351150                 1         2                   Gd
## 2733     2733  905402110                 1         2                   TA
## 2734     2734  905403050                 1         2                   TA
## 2735     2735  905426100                 3         4                   Ex
## 2736     2736  905426150                 2         3                   Gd
## 2737     2737  905427010                 2         3                   TA
## 2738     2738  905427030                 3         4                   Gd
## 2739     2739  905427140                 2         3                   TA
## 2740     2740  905451050                 1         2                   TA
## 2741     2741  905451410                 1         2                   Gd
## 2742     2742  905452140                 2         3                   TA
## 2743     2743  905452150                 1         2                   TA
## 2744     2744  905475150                 1         2                   TA
## 2745     2745  905477010                 1         2                   TA
## 2746     2746  905480160                 1         2                   TA
## 2747     2747  906202040                 2         3                   Gd
## 2748     2748  906204180                 2         3                   Ex
## 2749     2749  906223180                 2         3                   Gd
## 2750     2750  906225180                 2         3                   Gd
## 2751     2751  906380110                 2         3                   Gd
## 2752     2752  906380150                 2         3                   Gd
## 2753     2753  906380170                 2         3                   Gd
## 2754     2754  906380180                 2         3                   Gd
## 2755     2755  906382030                 2         3                   Gd
## 2756     2756  906382040                 2         3                   Gd
## 2757     2757  906382050                 2         3                   Gd
## 2758     2758  906392090                 2         3                   Gd
## 2759     2759  906392100                 2         3                   Gd
## 2760     2760  906392120                 2         3                   Ex
## 2761     2761  906394010                 2         3                   Gd
## 2762     2762  906394040                 2         3                   Gd
## 2763     2763  906394060                 2         3                   Gd
## 2764     2764  906420020                 2         3                   Gd
## 2765     2765  906426090                 2         3                   TA
## 2766     2766  906475050                 1         2                   TA
## 2767     2767  906475200                 2         3                   Gd
## 2768     2768  906476140                 2         3                   TA
## 2769     2769  907125020                 1         2                   TA
## 2770     2770  907125080                 1         2                   TA
## 2771     2771  907130110                 2         3                   Gd
## 2772     2772  907131070                 2         3                   TA
## 2773     2773  907135230                 1         2                   TA
## 2774     2774  907175030                 2         3                   Gd
## 2775     2775  907175060                 2         3                   Gd
## 2776     2776  907180120                 2         3                   Gd
## 2777     2777  907181090                 2         3                   Gd
## 2778     2778  907187010                 2         3                   Gd
## 2779     2779  907192010                 2         3                   Gd
## 2780     2780  907194130                 2         3                   Gd
## 2781     2781  907196020                 2         3                   Gd
## 2782     2782  907200170                 1         2                   TA
## 2783     2783  907201160                 1         2                   TA
## 2784     2784  907201230                 2         3                   TA
## 2785     2785  907202140                 1         2                   TA
## 2786     2786  907203010                 1         2                   TA
## 2787     2787  907203040                 1         2                   TA
## 2788     2788  907227090                 1         2                   TA
## 2789     2789  907230240                 2         3                   TA
## 2790     2790  907251100                 2         3                   Gd
## 2791     2791  907252050                 2         3                   Gd
## 2792     2792  907254050                 2         3                   TA
## 2793     2793  907255010                 1         2                   Gd
## 2794     2794  907255050                 2         3                   Gd
## 2795     2795  907262080                 2         3                   Gd
## 2796     2796  907265030                 2         3                   Gd
## 2797     2797  907270050                 2         3                   Gd
## 2798     2798  907275030                 2         3                   Gd
## 2799     2799  907285010                 2         3                   Gd
## 2800     2800  907285100                 2         3                   Gd
## 2801     2801  907290020                 2         3                   Gd
## 2802     2802  907290080                 2         3                   Gd
## 2803     2803  907290160                 1         2                   Gd
## 2804     2804  907290230                 1         2                   Gd
## 2805     2805  907290260                 2         3                   Gd
## 2806     2806  907401050                 2         3                   Gd
## 2807     2807  907401080                 2         3                   Gd
## 2808     2808  907405030                 2         3                   Gd
## 2809     2809  907410040                 2         3                   Gd
## 2810     2810  907410100                 2         3                   Gd
## 2811     2811  907410110                 2         3                   Gd
## 2812     2812  907412010                 2         3                   Gd
## 2813     2813  907414040                 2         3                   Gd
## 2814     2814  907418020                 2         3                   Gd
## 2815     2815  907420070                 2         3                   Gd
## 2816     2816  907420090                 2         3                   Gd
## 2817     2817  908102020                 2         3                   TA
## 2818     2818  908102320                 1         2                   Fa
## 2819     2819  908102330                 1         2                   TA
## 2820     2820  908103310                 2         3                   TA
## 2821     2821  908103320                 2         3                   TA
## 2822     2822  908127050                 1         2                   TA
## 2823     2823  908128100                 2         3                   Gd
## 2824     2824  908130020                 1         2                   Gd
## 2825     2825  908178050                 2         3                   Gd
## 2826     2826  908186060                 1         2                   TA
## 2827     2827  908186070                 2         3                   TA
## 2828     2828  908186090                 1         2                   TA
## 2829     2829  908188110                 2         3                   Gd
## 2830     2830  908188120                 2         3                   Gd
## 2831     2831  908188130                 2         3                   Gd
## 2832     2832  908188140                 2         3                   Gd
## 2833     2833  908188150                 2         3                   Gd
## 2834     2834  908225180                 1         2                   TA
## 2835     2835  908227010                 2         3                   TA
## 2836     2836  908227030                 1         2                   TA
## 2837     2837  908227040                 1         2                   TA
## 2838     2838  908228040                 1         2                   TA
## 2839     2839  908275220                 1         2                   TA
## 2840     2840  908275290                 2         3                   TA
## 2841     2841  909101050                 1         2                   Fa
## 2842     2842  909101080                 1         2                   TA
## 2843     2843  909101190                 1         2                   TA
## 2844     2844  909101330                 1         2                   TA
## 2845     2845  909103020                 1         2                   Gd
## 2846     2846  909131125                 2         3                   TA
## 2847     2847  909175030                 1         2                   TA
## 2848     2848  909176180                 2         3                   Fa
## 2849     2849  909201180                 1         2                   TA
## 2850     2850  909250070                 1         2                   Gd
## 2851     2851  909250120                 1         2                   TA
## 2852     2852  909250200                 1         2                   TA
## 2853     2853  909250210                 2         3                   TA
## 2854     2854  909253080                 1         2                   Gd
## 2855     2855  909254070                 1         2                   TA
## 2856     2856  909256010                 2         3                   TA
## 2857     2857  909256020                 1         2                   TA
## 2858     2858  909275230                 1         2                   Gd
## 2859     2859  909275250                 1         2                   TA
## 2860     2860  909276010                 1         2                   Gd
## 2861     2861  909276070                 1         2                   TA
## 2862     2862  909279040                 1         2                   Fa
## 2863     2863  909280030                 1         2                   Gd
## 2864     2864  909280070                 2         3                   TA
## 2865     2865  909281010                 2         3                   TA
## 2866     2866  909282060                 1         2                   Gd
## 2867     2867  909282110                 1         2                   TA
## 2868     2868  909425120                 1         2                   Ex
## 2869     2869  909425180                 2         3                   Gd
## 2870     2870  909426060                 2         3                   TA
## 2871     2871  909428110                 1         2                   TA
## 2872     2872  909475020                 2         3                   Gd
## 2873     2873  910200020                 1         2                   TA
## 2874     2874  910200060                 1         2                   TA
## 2875     2875  910203100                 1         2                   TA
## 2876     2876  910203230                 1         2                   Fa
## 2877     2877  910207110                 1         2                   TA
## 2878     2878  910226060                 2         3                   Gd
## 2879     2879  911175360                 1         2                   TA
## 2880     2880  911175410                 1         2                   TA
## 2881     2881  911175430                 0         1                   TA
## 2882     2882  911175440                 2         3                   TA
## 2883     2883  911225110                 1         2                   TA
## 2884     2884  911370430                 2         3                   Ex
## 2885     2885  911370530                 2         3                   Gd
## 2886     2886  913350030                 2         3                   Fa
## 2887     2887  914452060                 2         3                   TA
## 2888     2888  914474020                 2         3                   Gd
## 2889     2889  914476050                 1         2                   TA
## 2890     2890  914476130                 2         3                   TA
## 2891     2891  914476500                 3         4                   TA
## 2892     2892  916225130                 2         3                   Gd
## 2893     2893  916252170                 2         3                   Gd
## 2894     2894  916325040                 1         2                   TA
## 2895     2895  916326010                 2         3                   TA
## 2896     2896  916402125                 2         3                   Gd
## 2897     2897  916403020                 2         3                   TA
## 2898     2898  916403130                 2         3                   TA
## 2899     2899  916460070                 2         3                   Gd
## 2900     2900  916475100                 2         3                   Gd
## 2901     2901  916477010                 2         3                   Gd
## 2902     2902  921205030                 2         3                   Gd
## 2903     2903  921205050                 2         3                   Ex
## 2904     2904  923125030                 1         2                   TA
## 2905     2905  923202025                 2         3                   TA
## 2906     2906  923203090                 2         3                   TA
## 2907     2907  923203100                 2         3                   TA
## 2908     2908  923205120                 1         2                   TA
## 2909     2909  923225190                 1         2                   TA
## 2910     2910  923225240                 2         3                   TA
## 2911     2911  923225260                 2         3                   TA
## 2912     2912  923225510                 1         2                   TA
## 2913     2913  923226150                 2         3                   TA
## 2914     2914  923226180                 1         2                   TA
## 2915     2915  923226290                 1         2                   TA
## 2916     2916  923227100                 1         2                   TA
## 2917     2917  923228130                 1         2                   Ex
## 2918     2918  923228180                 1         2                   TA
## 2919     2919  923228210                 1         2                   TA
## 2920     2920  923228260                 1         2                   TA
## 2921     2921  923228310                 1         2                   TA
## 2922     2922  923229110                 2         3                   TA
## 2923     2923  923230040                 2         3                   TA
## 2924     2924  923250060                 2         3                   TA
## 2925     2925  923251180                 1         2                   TA
## 2926     2926  923275080                 1         2                   TA
## 2927     2927  923276100                 1         2                   TA
## 2928     2928  923400125                 1         2                   TA
## 2929     2929  924100070                 1         2                   TA
## 2930     2930  924151050                 2         3                   TA
##      Kitchen.Qual PreReno.BsmtFin.Type.1 BsmtFin.Type.1 PreReno.BsmtFin.SF.1
## 1              Gd                    BLQ            BLQ                  639
## 2              Gd                    Rec            BLQ                  468
## 3              Ex                    ALQ            BLQ                  923
## 4              Ex                    ALQ            BLQ                 1065
## 5              Gd                    GLQ            BLQ                  791
## 6              Ex                    GLQ            BLQ                  602
## 7              Ex                    GLQ            BLQ                  616
## 8              Ex                    ALQ            BLQ                  263
## 9              Ex                    GLQ            BLQ                 1180
## 10             Ex                    Unf            BLQ                    0
## 11             Gd                    Unf            BLQ                    0
## 12             Gd                    ALQ            BLQ                  935
## 13             Gd                    Unf            BLQ                    0
## 14             Ex                    GLQ            BLQ                  637
## 15             Ex                    GLQ            BLQ                  368
## 16             Ex                    ALQ            BLQ                 1416
## 17             Gd                    GLQ            BLQ                  427
## 18             Ex                    GLQ            BLQ                 1445
## 19             Gd                    LwQ            BLQ                  120
## 20             Gd                    ALQ            BLQ                  790
## 21             Gd                    BLQ            BLQ                  705
## 22             Ex                    GLQ            BLQ                  885
## 23             Ex                    GLQ            BLQ                  533
## 24             Gd                    ALQ            BLQ                  578
## 25             Gd                    GLQ            BLQ                  734
## 26             Gd                    BLQ            BLQ                  775
## 27             Gd                    ALQ            BLQ                  804
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## 2687           Gd                    Unf            BLQ                    0
## 2688           Gd                    ALQ            BLQ                  789
## 2689           Ex                    Unf            BLQ                    0
## 2690           TA                    Unf            BLQ                    0
## 2691           TA                    Unf            BLQ                    0
## 2692           Gd                    Unf            BLQ                    0
## 2693           Ex                    Unf            BLQ                    0
## 2694           Gd                    Unf            BLQ                    0
## 2695           Ex                    Unf            BLQ                    0
## 2696           Gd                    Unf            BLQ                    0
## 2697           Gd                    GLQ            BLQ                  490
## 2698           Gd                    LwQ            BLQ                  343
## 2699           Gd                    BLQ            BLQ                  329
## 2700           Gd                    Unf            BLQ                    0
## 2701           Gd                    DNE            DNE                    0
## 2702           Ex                    BLQ            BLQ                  300
## 2703           Gd                    DNE            DNE                    0
## 2704           Gd                    Unf            BLQ                    0
## 2705           Gd                    GLQ            BLQ                  510
## 2706           Gd                    Rec            BLQ                  547
## 2707           Gd                    DNE            DNE                    0
## 2708           Gd                    GLQ            BLQ                  663
## 2709           Gd                    ALQ            BLQ                  779
## 2710           Gd                    LwQ            BLQ                  328
## 2711           Gd                    GLQ            BLQ                  456
## 2712           Gd                    ALQ            BLQ                  773
## 2713           Gd                    BLQ            BLQ                  673
## 2714           Gd                    ALQ            BLQ                  209
## 2715           Gd                    BLQ            BLQ                  194
## 2716           Gd                    Rec            BLQ                  570
## 2717           Gd                    GLQ            BLQ                  794
## 2718           Gd                    Unf            BLQ                    0
## 2719           Gd                    Rec            BLQ                  483
## 2720           Ex                    ALQ            BLQ                   57
## 2721           Gd                    Rec            BLQ                  168
## 2722           Gd                    ALQ            BLQ                  306
## 2723           TA                    Unf            BLQ                    0
## 2724           Gd                    GLQ            BLQ                  648
## 2725           Gd                    Rec            BLQ                  988
## 2726           Gd                    Rec            BLQ                  810
## 2727           Gd                    Rec            BLQ                  104
## 2728           Gd                    BLQ            BLQ                  603
## 2729           Gd                    GLQ            BLQ                  535
## 2730           Gd                    ALQ            BLQ                  762
## 2731           Ex                    GLQ            BLQ                  397
## 2732           Ex                    GLQ            BLQ                 1082
## 2733           Gd                    Rec            BLQ                  799
## 2734           Gd                    LwQ            BLQ                  230
## 2735           Ex                    GLQ            BLQ                  603
## 2736           Ex                    Unf            BLQ                    0
## 2737           Gd                    Unf            BLQ                    0
## 2738           Ex                    Rec            BLQ                  425
## 2739           Gd                    ALQ            BLQ                  612
## 2740           Gd                    DNE            DNE                    0
## 2741           Ex                    Unf            BLQ                    0
## 2742           Gd                    Rec            BLQ                  444
## 2743           Gd                    LwQ            BLQ                  468
## 2744           Gd                    LwQ            BLQ                  210
## 2745           Gd                    DNE            DNE                    0
## 2746           Gd                    Unf            BLQ                    0
## 2747           Ex                    GLQ            BLQ                 1258
## 2748           Ex                    ALQ            BLQ                  549
## 2749           Ex                    GLQ            BLQ                  380
## 2750           Ex                    LwQ            BLQ                  261
## 2751           Ex                    Unf            BLQ                    0
## 2752           Ex                    GLQ            BLQ                  393
## 2753           Ex                    GLQ            BLQ                  684
## 2754           Ex                    Unf            BLQ                    0
## 2755           Ex                    GLQ            BLQ                   20
## 2756           Ex                    Unf            BLQ                    0
## 2757           Ex                    GLQ            BLQ                  464
## 2758           Ex                    GLQ            BLQ                 1576
## 2759           Ex                    GLQ            BLQ                 1300
## 2760           Ex                    GLQ            BLQ                 1122
## 2761           Ex                    Unf            BLQ                    0
## 2762           Ex                    GLQ            BLQ                   56
## 2763           Ex                    Unf            BLQ                    0
## 2764           Ex                    GLQ            BLQ                  789
## 2765           Gd                    Rec            BLQ                  812
## 2766           Gd                    ALQ            BLQ                  938
## 2767           Ex                    ALQ            BLQ                  655
## 2768           Gd                    LwQ            BLQ                  853
## 2769           Gd                    GLQ            BLQ                  298
## 2770           Gd                    Unf            BLQ                    0
## 2771           Ex                    Unf            BLQ                    0
## 2772           Gd                    GLQ            BLQ                  846
## 2773           Gd                    ALQ            BLQ                  716
## 2774           Ex                    GLQ            BLQ                 1400
## 2775           Ex                    GLQ            BLQ                 1200
## 2776           Ex                    ALQ            BLQ                 1162
## 2777           Ex                    GLQ            BLQ                  500
## 2778           Ex                    GLQ            BLQ                  894
## 2779           Ex                    GLQ            BLQ                  700
## 2780           Ex                    Unf            BLQ                    0
## 2781           Ex                    Unf            BLQ                    0
## 2782           Gd                    ALQ            BLQ                  483
## 2783           Gd                    GLQ            BLQ                  509
## 2784           Gd                    ALQ            BLQ                  595
## 2785           Gd                    ALQ            BLQ                  523
## 2786           Gd                    Rec            BLQ                  360
## 2787           Gd                    ALQ            BLQ                  894
## 2788           Gd                    BLQ            BLQ                  437
## 2789           Gd                    GLQ            BLQ                  338
## 2790           Ex                    GLQ            BLQ                  932
## 2791           Ex                    GLQ            BLQ                  456
## 2792           Gd                    GLQ            BLQ                  639
## 2793           Ex                    GLQ            BLQ                  872
## 2794           Ex                    Unf            BLQ                    0
## 2795           Ex                    Unf            BLQ                    0
## 2796           Ex                    GLQ            BLQ                  986
## 2797           Ex                    GLQ            BLQ                  920
## 2798           Ex                    Unf            BLQ                    0
## 2799           Ex                    ALQ            BLQ                  796
## 2800           Ex                    GLQ            BLQ                  685
## 2801           Ex                    GLQ            BLQ                  975
## 2802           Ex                    GLQ            BLQ                   24
## 2803           Ex                    GLQ            BLQ                  717
## 2804           Ex                    GLQ            BLQ                  662
## 2805           Ex                    Unf            BLQ                    0
## 2806           Ex                    GLQ            BLQ                 1000
## 2807           Ex                    Unf            BLQ                    0
## 2808           Ex                    GLQ            BLQ                  340
## 2809           Ex                    Unf            BLQ                    0
## 2810           Ex                    Unf            BLQ                    0
## 2811           Ex                    GLQ            BLQ                   24
## 2812           Ex                    Unf            BLQ                    0
## 2813           Ex                    GLQ            BLQ                  996
## 2814           Ex                    Unf            BLQ                    0
## 2815           Ex                    Unf            BLQ                    0
## 2816           Ex                    GLQ            BLQ                   24
## 2817           Gd                    Rec            BLQ                  173
## 2818           TA                    BLQ            BLQ                  176
## 2819           Gd                    LwQ            BLQ                  836
## 2820           Gd                    GLQ            BLQ                  976
## 2821           Gd                    GLQ            BLQ                  945
## 2822           Gd                    ALQ            BLQ                  847
## 2823           Ex                    Unf            BLQ                    0
## 2824           Ex                    GLQ            BLQ                  475
## 2825           Ex                    Unf            BLQ                    0
## 2826           Gd                    GLQ            BLQ                  547
## 2827           Gd                    GLQ            BLQ                  547
## 2828           Gd                    GLQ            BLQ                  547
## 2829           Ex                    Unf            BLQ                    0
## 2830           Ex                    Unf            BLQ                    0
## 2831           Ex                    Unf            BLQ                    0
## 2832           Ex                    Unf            BLQ                    0
## 2833           Ex                    Unf            BLQ                    0
## 2834           Gd                    Unf            BLQ                    0
## 2835           Gd                    Unf            BLQ                    0
## 2836           Gd                    Unf            BLQ                    0
## 2837           Gd                    Unf            BLQ                    0
## 2838           Gd                    BLQ            BLQ                  392
## 2839           Gd                    Rec            BLQ                  167
## 2840           Gd                    Rec            BLQ                  691
## 2841           TA                    Unf            BLQ                    0
## 2842           Gd                    Unf            BLQ                    0
## 2843           Gd                    Unf            BLQ                    0
## 2844           Gd                    Unf            BLQ                    0
## 2845           Ex                    Unf            BLQ                    0
## 2846           Gd                    Unf            BLQ                    0
## 2847           Gd                    LwQ            BLQ                  388
## 2848           TA                    LwQ            BLQ                  930
## 2849           Gd                    BLQ            BLQ                  780
## 2850           Ex                    ALQ            BLQ                  424
## 2851           Gd                    Unf            BLQ                    0
## 2852           Gd                    BLQ            BLQ                  305
## 2853           Gd                    Unf            BLQ                    0
## 2854           Ex                    Unf            BLQ                    0
## 2855           Gd                    LwQ            BLQ                  352
## 2856           Gd                    LwQ            BLQ                  646
## 2857           Gd                    LwQ            BLQ                  384
## 2858           Ex                    ALQ            BLQ                  216
## 2859           Gd                    Unf            BLQ                    0
## 2860           Ex                    Unf            BLQ                    0
## 2861           Gd                    BLQ            BLQ                  602
## 2862           TA                    Unf            BLQ                    0
## 2863           Ex                    Rec            BLQ                  223
## 2864           Gd                    ALQ            BLQ                  526
## 2865           Gd                    Rec            BLQ                  503
## 2866           Ex                    Unf            BLQ                    0
## 2867           Gd                    Unf            BLQ                    0
## 2868           Ex                    ALQ            BLQ                  296
## 2869           Ex                    ALQ            BLQ                 1283
## 2870           Gd                    GLQ            BLQ                  760
## 2871           Gd                    BLQ            BLQ                  841
## 2872           Ex                    Rec            BLQ                 1110
## 2873           Gd                    Rec            BLQ                  305
## 2874           Gd                    ALQ            BLQ                  374
## 2875           Gd                    Unf            BLQ                    0
## 2876           TA                    Unf            BLQ                    0
## 2877           Gd                    ALQ            BLQ                  285
## 2878           Ex                    Unf            BLQ                    0
## 2879           Gd                    Rec            BLQ                  637
## 2880           Gd                    DNE            DNE                    0
## 2881           Gd                    BLQ            BLQ                   50
## 2882           Gd                    Unf            BLQ                    0
## 2883           Gd                    Unf            BLQ                    0
## 2884           Ex                    GLQ            BLQ                 1573
## 2885           Ex                    GLQ            BLQ                 1564
## 2886           TA                    GLQ            BLQ                  776
## 2887           Gd                    Unf            BLQ                    0
## 2888           Ex                    Unf            BLQ                    0
## 2889           Gd                    GLQ            BLQ                  975
## 2890           Gd                    GLQ            BLQ                  576
## 2891           Gd                    Unf            BLQ                    0
## 2892           Ex                    GLQ            BLQ                  965
## 2893           Ex                    DNE            DNE                    0
## 2894           Gd                    BLQ            BLQ                  909
## 2895           Gd                    Unf            BLQ                    0
## 2896           Ex                    GLQ            BLQ                  980
## 2897           Gd                    ALQ            BLQ                 1053
## 2898           Gd                    LwQ            BLQ                 1216
## 2899           Ex                    GLQ            BLQ                 1136
## 2900           Ex                    GLQ            BLQ                 1274
## 2901           Ex                    GLQ            BLQ                 1350
## 2902           Ex                    GLQ            BLQ                 1460
## 2903           Ex                    GLQ            BLQ                 1455
## 2904           Gd                    DNE            DNE                    0
## 2905           Gd                    GLQ            BLQ                 1243
## 2906           Gd                    GLQ            BLQ                  897
## 2907           Gd                    GLQ            BLQ                 1201
## 2908           Gd                    Unf            BLQ                    0
## 2909           Gd                    Unf            BLQ                    0
## 2910           Gd                    ALQ            BLQ                  548
## 2911           Gd                    ALQ            BLQ                  837
## 2912           Gd                    ALQ            BLQ                  441
## 2913           Gd                    BLQ            BLQ                  149
## 2914           Gd                    GLQ            BLQ                  522
## 2915           Gd                    Rec            BLQ                  252
## 2916           Gd                    Rec            BLQ                  119
## 2917           Ex                    GLQ            BLQ                  553
## 2918           Gd                    Rec            BLQ                  408
## 2919           Gd                    Unf            BLQ                    0
## 2920           Gd                    Unf            BLQ                    0
## 2921           Gd                    Rec            BLQ                  252
## 2922           Gd                    Rec            BLQ                  936
## 2923           Gd                    ALQ            BLQ                 1606
## 2924           Gd                    ALQ            BLQ                  936
## 2925           Gd                    ALQ            BLQ                 1224
## 2926           Gd                    GLQ            BLQ                  819
## 2927           Gd                    BLQ            BLQ                  301
## 2928           Gd                    GLQ            BLQ                  337
## 2929           Gd                    ALQ            BLQ                 1071
## 2930           Gd                    LwQ            BLQ                  758
##      BsmtFin.SF.1 Exter.Cond Year.Remod.Add SalePrice Reno.Cost
## 1            1080         Gd           2010    215000     34864
## 2             738         Gd           2010    105000     34864
## 3            1329         Gd           2010    172000     34864
## 4            2110         Gd           2010    244000     22307
## 5             928         Gd           2010    189900     34864
## 6             926         Gd           2010    195500     34864
## 7            1338         Gd           2010    213500     34864
## 8            1280         Gd           2010    191500     34864
## 9            1595         Gd           2010    236500     34864
## 10            994         Gd           2010    189000     34864
## 11            763         Gd           2010    175900     34864
## 12           1168         Ex           2010    185000     34864
## 13            789         Gd           2010    180400     34864
## 14           1300         Gd           2010    171500     34864
## 15            368         Gd           2010    212000     34864
## 16           1650         Gd           2010    538000     22307
## 17            559         Gd           2010    164000     34864
## 18           1856         Gd           2010    394432     22307
## 19            864         Gd           2010    141000     34864
## 20           1379         Gd           2010    210000     34864
## 21           1844         Gd           2010    190000     34864
## 22            885         Gd           2010    170000     34864
## 23            814         Gd           2010    216000     34864
## 24           1004         Gd           2010    149000     34864
## 25           1078         Gd           2010    149900     34864
## 26           1056         Gd           2010    142000     34864
## 27            804         Gd           2010    126000     34864
## 28            864         Gd           2010    115000     34864
## 29           1405         Gd           2010    184000     34864
## 30            483         Gd           2010     96000     34864
## 31            525         Gd           2010    105500     34864
## 32            525         Gd           2010     88000     34864
## 33           1069         Gd           2010    127500     34864
## 34            855         Gd           2010    149900     34864
## 35            836         Gd           2010    120000     34864
## 36            855         Gd           2010    146000     34864
## 37           1590         Gd           2010    376162     22307
## 38           1704         Gd           2010    306000     34864
## 39           1930         Gd           2010    395192     22307
## 40           1544         Gd           2010    290941     34864
## 41           1541         Gd           2010    220000     34864
## 42           1698         Gd           2010    275000     22307
## 43           1822         Gd           2010    259000     22307
## 44           1517         Gd           2010    214000     34864
## 45           2330         Gd           2010    611657     22307
## 46           1358         Gd           2010    224000     34864
## 47           2846         Gd           2010    500000     22307
## 48           1671         Gd           2010    320000     34864
## 49           1752         Gd           2010    319900     22307
## 50           1370         Gd           2010    205000     34864
## 51            764         Gd           2010    175500     34864
## 52           1324         Gd           2010    199500     34864
## 53           1145         Gd           2010    160000     34864
## 54           1256         Gd           2010    192000     34864
## 55            384         Gd           2010    184500     34864
## 56            860         Gd           2010    216500     34864
## 57            847         Gd           2010    185088     34864
## 58            384         Gd           2010    180000     34864
## 59            884         Gd           2010    222500     34864
## 60           1393         Gd           2010    333168     34864
## 61           1629         Gd           2010    355000     34864
## 62           1720         Gd           2010    260400     34864
## 63           1463         Gd           2010    325000     34864
## 64           1152         Gd           2010    290000     34864
## 65           1195         Gd           2010    221000     34864
## 66           2033         Gd           2010    410000     34864
## 67           1595         Gd           2010    221500     34864
## 68           1218         Gd           2010    204500     34864
## 69            756         Gd           2010    215200     34864
## 70           1566         Gd           2010    262500     34864
## 71            991         Gd           2010    254900     34864
## 72           1468         Gd           2010    271500     34864
## 73            956         Gd           2010    233000     34864
## 74            831         Gd           2010    181000     34864
## 75            948         Gd           2010    205000     34864
## 76            804         Gd           2010    143000     34864
## 77           1055         Gd           2010    189000     34864
## 78            918         Gd           2010     99500     34864
## 79            623         Gd           2010    125000     34864
## 80            996         Gd           2010    194500     34864
## 81           1040         Gd           2010    152000     34864
## 82            650         Gd           2010    171000     34864
## 83            816         TA           2010     67500     34864
## 84              0         Gd           2010    112000     23614
## 85           1109         Gd           2010    148000     34864
## 86            777         Ex           2010    138500     34864
## 87            882         Ex           2010    122000     34864
## 88           1040         Gd           2010    133000     34864
## 89           1040         Ex           2010    127000     34864
## 90            349         Ex           2010    169000     34864
## 91            750         Gd           2010    190000     34864
## 92            250         Gd           2010    362500     34864
## 93           1390         Gd           2010    285000     34864
## 94           1488         Gd           2010    260000     34864
## 95            840         Gd           2010    190000     34864
## 96            600         Gd           2010    155000     34864
## 97            600         Gd           2010    151000     34864
## 98            558         Gd           2010    149500     34864
## 99            600         Gd           2010    152000     34864
## 100          1470         Gd           2010    222000     34864
## 101           756         Gd           2010    177500     34864
## 102           756         Gd           2010    177000     34864
## 103           696         Gd           2010    155000     34864
## 104           530         Gd           2010    147110     34864
## 105          1642         Gd           2010    267916     34864
## 106           975         Gd           2010    254000     34864
## 107           728         Gd           2010    155000     34864
## 108          1226         Gd           2010    206000     34864
## 109           725         Gd           2010    130500     34864
## 110          1492         Gd           2010    230000     34864
## 111          1829         Gd           2010    218500     34864
## 112          1280         Gd           2010    243500     34864
## 113          1610         Gd           2010    205000     34864
## 114          1178         Gd           2010    212500     34864
## 115           980         Gd           2010    196500     34864
## 116          1161         Gd           2010    197500     34864
## 117           715         Gd           2010    171000     34864
## 118          1232         Gd           2010    142250     34864
## 119          1247         Gd           2010    143000     34864
## 120           950         Gd           2010    128950     34864
## 121          1209         Gd           2010    159000     34864
## 122          1510         Gd           2010    178900     34864
## 123           533         Gd           2010    136300     34864
## 124          1152         Gd           2010    180500     34864
## 125           936         Ex           2010    137500     34864
## 126          1728         Gd           2010     84900     34864
## 127            49         Gd           2010    142125     34864
## 128          1140         Gd           2010    197600     34864
## 129           782         Ex           2010    172500     34864
## 130           858         Ex           2010    116500     34864
## 131           728         Fa           2010     76500     34864
## 132           766         Gd           2010    128000     34864
## 133          1024         Gd           2010    153000     34864
## 134          1268         Gd           2010    132000     34864
## 135          1080         Gd           2010    178000     34864
## 136          1105         Gd           2010    154300     34864
## 137          1947         Gd           2010    180000     34864
## 138           804         Gd           2010    190000     34864
## 139          1604         Gd           2010    135000     34864
## 140          1480         Gd           2010    214000     34864
## 141           981         Gd           2010    136000     34864
## 142          1398         Gd           2010    165500     34864
## 143          1314         Ex           2010    145000     34864
## 144          1194         Gd           2010    148000     34864
## 145          1188         Gd           2010    142000     34864
## 146          1268         Gd           2010    167500     34864
## 147          1206         Gd           2010    108538     34864
## 148          1244         Gd           2010    159500     34864
## 149           832         Gd           2010    108000     34864
## 150           864         Gd           2010    135000     34864
## 151           972         Ex           2010    122500     34864
## 152           988         Gd           2010    119000     34864
## 153          1057         Ex           2010    109000     34864
## 154           576         Gd           2010    105000     34864
## 155             0         Gd           2010    107500     23614
## 156           724         Gd           2010    144900     34864
## 157           696         Gd           2010    129000     34864
## 158           912         Gd           2010     97500     34864
## 159          1056         Gd           2010    144000     34864
## 160           805         Ex           2010    162000     34864
## 161           710         Ex           2010    242000     34864
## 162           642         Gd           2010    132000     34864
## 163           340         Gd           2010    154000     34864
## 164           910         TA           2010    166000     34864
## 165           414         Gd           2010    134800     34864
## 166          1116         Gd           2010    160000     34864
## 167           825         Gd           2010    148000     34864
## 168          1132         Gd           2010    192000     34864
## 169           756         Gd           2010    155000     34864
## 170           709         Gd           2010     80400     34864
## 171           576         Gd           2010     96500     34864
## 172           936         Gd           2010    109500     34864
## 173          1008         Gd           2010    115000     34864
## 174           274         Gd           2010    143000     34864
## 175           840         Ex           2010    107400     34864
## 176           747         Ex           2010     80000     34864
## 177           788         Ex           2010    119000     34864
## 178           234         Gd           2010    130000     34864
## 179           827         Gd           2010    119000     34864
## 180          1027         Ex           2010    129000     34864
## 181          1008         Gd           2010    100000     34864
## 182           678         TA           2010     12789     34864
## 183           624         Ex           2010    105900     34864
## 184           930         Ex           2010    150000     34864
## 185           686         Ex           2010    139000     34864
## 186           346         Ex           2010    240000     34864
## 187           840         TA           2010     76500     34864
## 188           912         Gd           2010    149700     34864
## 189           622         Gd           2010    125500     34864
## 190           777         Gd           2010    122500     34864
## 191           738         Gd           2010    140750     34864
## 192           988         Ex           2010    128500     34864
## 193          1108         Gd           2010    209500     34864
## 194           765         Gd           2010     87000     34864
## 195           596         Gd           2010    134000     34864
## 196           572         Ex           2010    128000     34864
## 197           676         Gd           2010    132000     34864
## 198           780         Gd           2010    139900     34864
## 199           528         Gd           2010    123900     34864
## 200           928         Gd           2010    138400     34864
## 201          1124         Gd           2010    109500     34864
## 202           576         Gd           2010    140000     34864
## 203           888         TA           2010    149500     34864
## 204           780         Ex           2010    159900     34864
## 205           662         Ex           2010    122000     34864
## 206           104         Gd           2010    110000     34864
## 207             0         TA           2010     55000     23614
## 208           360         Ex           2010    140000     34864
## 209          1032         Ex           2010    244400     34864
## 210          1422         Gd           2010    173000     34864
## 211           689         Gd           2010    107500     34864
## 212          1212         TA           2010    100000     34864
## 213           600         Gd           2010     95000     34864
## 214           707         Gd           2010     93369     34864
## 215           856         Ex           2010    114900     34864
## 216           780         Ex           2010     94000     34864
## 217          1832         TA           2010    136000     34864
## 218          1768         Gd           2010    136500     34864
## 219          1039         Gd           2010    131500     34864
## 220          1392         Gd           2010    121500     34864
## 221           912         Gd           2010    125000     34864
## 222           392         Ex           2010    154000     34864
## 223           390         Gd           2010    137900     34864
## 224           663         Gd           2010    158000     34864
## 225           864         Gd           2010    137250     34864
## 226          1319         Gd           2010    160250     34864
## 227           267         Ex           2010    163000     34864
## 228           672         Gd           2010    158900     34864
## 229          1306         Gd           2010    328000     34864
## 230          1420         Ex           2010    270000     34864
## 231           660         Gd           2010     85000     34864
## 232          1067         Gd           2010    128000     34864
## 233          1332         Gd           2010    260000     34864
## 234          1117         Gd           2010    230000     34864
## 235           288         Gd           2010    124000     34864
## 236           458         Gd           2010     83000     34864
## 237           276         Gd           2010    144500     34864
## 238          1144         Gd           2010    129000     34864
## 239           756         Gd           2010    127000     34864
## 240          1172         Gd           2010    128000     34864
## 241          1212         Gd           2010    186000     34864
## 242          1508         Gd           2010    308030     34864
## 243          1250         TA           2010    114000     34864
## 244             0         Gd           2010     84900     23614
## 245           741         Gd           2010    178000     34864
## 246          1433         Gd           2010    270000     34864
## 247           946         Ex           2010    218000     34864
## 248          1050         Gd           2010    236000     34864
## 249           936         Gd           2010    147000     34864
## 250          1694         Gd           2010    245350     34864
## 251          1187         Gd           2010    206000     34864
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## 254          1673         Gd           2010    320000     34864
## 255           676         Gd           2010    138500     34864
## 256          1010         Gd           2010    155000     34864
## 257           870         Ex           2010    159000     34864
## 258           878         Gd           2010    191000     34864
## 259           804         Gd           2010    200500     34864
## 260           338         Ex           2010    150000     34864
## 261           689         Gd           2010    161750     34864
## 262           182         Gd           2010    128200     34864
## 263           876         Gd           2010    127000     34864
## 264          1978         Gd           2010    318000     34864
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## 272          1473         Gd           2010    213000     34864
## 273          1414         Gd           2010    185500     34864
## 274             0         Ex           2010     84900     23614
## 275           381         Ex           2010    155891     34864
## 276             0         Gd           2010    100000     23614
## 277          1196         Gd           2010    144000     34864
## 278           744         Gd           2010     64000     34864
## 279          1008         Gd           2010    125200     34864
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## 285          1216         Gd           2010    144500     34864
## 286          1107         Gd           2010    104000     34864
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## 288           864         TA           2010     58500     34864
## 289          1026         Gd           2010    127000     34864
## 290           856         Gd           2010    126000     34864
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## 292           894         Gd           2010    100000     34864
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## 294          1276         Ex           2010    257500     34864
## 295          1032         Ex           2010    215000     34864
## 296          1152         Ex           2010    266500     34864
## 297          1902         Ex           2010    335000     22307
## 298           423         Gd           2010    203135     34864
## 299           982         Gd           2010    185000     34864
## 300          1191         Gd           2010    162500     34864
## 301          1501         Gd           2010    289000     34864
## 302           796         Ex           2010    125500     34864
## 303           480         Gd           2010     82000     34864
## 304           629         Gd           2010    110000     34864
## 305           698         Ex           2010     68400     34864
## 306           859         Gd           2010    102776     34864
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## 308           756         TA           2010     50138     34864
## 309          1594         Gd           2010    246000     34864
## 310          1049         Gd           2010    254900     34864
## 311          1243         Gd           2010    190000     34864
## 312          1560         Gd           2010    201000     34864
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## 314          1958         Gd           2010    170000     34864
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## 319           774         Gd           2010    269500     22307
## 320           817         Gd           2010    214900     34864
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## 322          2002         Gd           2010    378500     22307
## 323          1068         Gd           2010    169000     34864
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## 325           912         Gd           2010    139000     34864
## 326          1344         Gd           2010    166500     34864
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## 328           945         Gd           2010    119500     34864
## 329           304         Gd           2010     85000     34864
## 330           546         Gd           2010     76000     34864
## 331           150         Gd           2010     75500     34864
## 332           546         Gd           2010     88250     34864
## 333           546         Gd           2010     85500     34864
## 334           864         Ex           2010    130000     34864
## 335          1188         Gd           2010    157900     34864
## 336           243         Gd           2010    149900     34864
## 337          1216         Fa           2010    159000     34864
## 338           624         Gd           2010    136000     34864
## 339           864         Gd           2010    161000     34864
## 340          1395         Ex           2010    285000     34864
## 341          1152         Ex           2010    231000     34864
## 342           882         Gd           2010    124500     34864
## 343          1434         Gd           2010    157000     34864
## 344          1952         Gd           2010    345000     22307
## 345           945         Gd           2010    189500     34864
## 346          1008         Gd           2010    270000     34864
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## 348          1746         Gd           2010    377500     22307
## 349           384         Gd           2010    168500     34864
## 350          2208         Gd           2010    375000     34864
## 351          1501         Gd           2010    278000     22307
## 352          1418         Gd           2010    240000     34864
## 353          1587         Gd           2010    239500     34864
## 354           384         Gd           2010    177500     34864
## 355           832         Gd           2010    185000     34864
## 356           952         Gd           2010    191000     34864
## 357           799         Gd           2010    178000     34864
## 358           680         Ex           2010    185000     34864
## 359           707         Gd           2010    181316     34864
## 360          1181         Gd           2010    166000     34864
## 361           808         Gd           2010    178000     34864
## 362           702         Gd           2010    174000     34864
## 363          1158         Gd           2010    173000     34864
## 364           978         Gd           2010    225000     34864
## 365          1424         Gd           2010    180500     34864
## 366          1220         Gd           2010    187500     34864
## 367          2216         Gd           2010    501837     22307
## 368          2046         Gd           2010    372500     34864
## 369          1530         Gd           2010    260000     34864
## 370          1122         Gd           2010    185000     34864
## 371           845         Gd           2010    260000     22307
## 372          1362         Ex           2010    181000     34864
## 373          1386         Ex           2010     82500     34864
## 374          1602         Gd           2010    215000     34864
## 375           832         Gd           2010    154000     34864
## 376          1427         Gd           2010    200000     34864
## 377          1043         Gd           2010    249000     34864
## 378          1372         Gd           2010    187500     34864
## 379          1140         Gd           2010    184000     34864
## 380          2524         Gd           2010    278000     34864
## 381          1271         Gd           2010    157000     34864
## 382          1090         Gd           2010    152000     34864
## 383           780         Ex           2010    197500     34864
## 384           926         Gd           2010    240900     22307
## 385           832         Gd           2010    263435     34864
## 386          1058         Gd           2010    220000     34864
## 387           696         Gd           2010    235000     34864
## 388          1453         Gd           2010    213000     34864
## 389          1116         Gd           2010    167900     34864
## 390          1176         Gd           2010    158000     34864
## 391          1064         Gd           2010    165000     34864
## 392           689         Gd           2010    158000     34864
## 393           896         Gd           2010    136000     34864
## 394          1002         Gd           2010    148500     34864
## 395           554         Gd           2010    156000     34864
## 396          1180         Gd           2010    128000     34864
## 397          1043         Gd           2010    143000     34864
## 398           864         Gd           2010     76500     34864
## 399           625         Gd           2010    120500     34864
## 400           864         Ex           2010    124500     34864
## 401           684         Gd           2010     97000     34864
## 402           864         Ex           2010    130000     34864
## 403           483         Gd           2010    111000     34864
## 404           765         Gd           2010    125000     34864
## 405           630         Gd           2010    112000     34864
## 406           189         Gd           2010     97000     34864
## 407           483         Gd           2010    118000     34864
## 408           630         Gd           2010    119500     34864
## 409           958         Gd           2010    143750     34864
## 410           804         Gd           2010    146000     34864
## 411           855         Gd           2010    148500     34864
## 412           435         Gd           2010    123000     34864
## 413           360         Gd           2010    147000     34864
## 414           855         Gd           2010    137900     34864
## 415           804         Gd           2010    147000     34864
## 416           855         Gd           2010    148500     34864
## 417           855         Gd           2010    138000     34864
## 418           836         Gd           2010    128500     34864
## 419           892         Gd           2010    100000     34864
## 420           864         Gd           2010    148800     34864
## 421          1700         Gd           2010    337500     22307
## 422          1776         Gd           2010    462000     22307
## 423          1926         Gd           2010    485000     22307
## 424          2555         Gd           2010    555000     22307
## 425          1652         Gd           2010    325000     22307
## 426          1566         Gd           2010    256300     34864
## 427          2042         Gd           2010    253293     22307
## 428          1365         Gd           2010    398800     22307
## 429          1104         Gd           2010    335000     22307
## 430          2020         Gd           2010    404000     22307
## 431          2006         Gd           2010    402861     22307
## 432          1722         Gd           2010    451950     22307
## 433          2630         Gd           2010    610000     22307
## 434          1734         Gd           2010    582933     22307
## 435          1736         Gd           2010    360000     22307
## 436          1782         Gd           2010    296000     34864
## 437          1508         Gd           2010    409900     22307
## 438          1709         Gd           2010    255500     34864
## 439          1739         Gd           2010    335000     22307
## 440          1713         Gd           2010    274900     22307
## 441          1504         Gd           2010    300000     22307
## 442          1774         Gd           2010    324000     22307
## 443          1462         Gd           2010    350000     22307
## 444          1836         Gd           2010    280000     34864
## 445          2727         Gd           2010    284000     34864
## 446          1760         Gd           2010    269500     34864
## 447          1502         Gd           2010    233170     34864
## 448          2392         Gd           2010    386250     22307
## 449          2452         Gd           2010    445000     22307
## 450          1082         Gd           2010    290000     34864
## 451          1598         Gd           2010    255900     34864
## 452          1358         Gd           2010    213000     34864
## 453          1306         Gd           2010    196000     34864
## 454          1306         Gd           2010    184500     34864
## 455          1350         Gd           2010    212500     34864
## 456          1314         Gd           2010    230000     34864
## 457          2492         Gd           2010    552000     22307
## 458          2200         Gd           2010    382500     22307
## 459          1884         Gd           2010    320000     22307
## 460          1451         Gd           2010    248500     22307
## 461          1712         Gd           2010    286500     34864
## 462          1324         Gd           2010    254000     34864
## 463          1405         Gd           2010    173000     34864
## 464           764         Gd           2010    173000     34864
## 465           728         Gd           2010    184000     34864
## 466           745         Gd           2010    167800     34864
## 467           742         Gd           2010    174000     34864
## 468           684         Gd           2010    174000     34864
## 469          1373         Gd           2010    174000     34864
## 470          1386         Gd           2010    175900     34864
## 471          1373         Gd           2010    192500     34864
## 472          1346         Gd           2010    181000     34864
## 473          1220         Gd           2010    180000     34864
## 474          1145         Gd           2010    160200     34864
## 475           716         Gd           2010    188500     34864
## 476          1010         Gd           2010    200000     34864
## 477           384         Gd           2010    170000     34864
## 478           868         Gd           2010    189500     34864
## 479           408         Gd           2010    184100     34864
## 480           846         Gd           2010    195500     34864
## 481           782         Gd           2010    192000     34864
## 482           698         Gd           2010    178000     34864
## 483          1314         Gd           2010    207500     34864
## 484           952         Gd           2010    236000     34864
## 485           870         Gd           2010    257500     34864
## 486           992         Gd           2010    244000     34864
## 487           271         Gd           2010    167000     34864
## 488           982         Gd           2010    179000     34864
## 489           794         Gd           2010    190000     34864
## 490           384         Gd           2010    156000     34864
## 491          1177         Gd           2010    245000     34864
## 492           841         Gd           2010    181000     34864
## 493           992         Gd           2010    214000     34864
## 494           384         Gd           2010    168000     34864
## 495          1252         Gd           2010    337000     34864
## 496          1462         Gd           2010    403000     22307
## 497          1455         Gd           2010    327000     34864
## 498          1284         Gd           2010    340000     34864
## 499          1225         Gd           2010    336000     34864
## 500          1264         Gd           2010    265000     34864
## 501           498         Gd           2010    315000     34864
## 502          1347         Gd           2010    260000     34864
## 503          1070         Gd           2010    260000     34864
## 504          1173         Gd           2010    263550     34864
## 505          1449         Gd           2010    402000     34864
## 506           973         Gd           2010    248000     34864
## 507          1468         Gd           2010    244600     34864
## 508          1696         Gd           2010    275000     34864
## 509          1614         Gd           2010    257500     34864
## 510          1573         Gd           2010    287090     22307
## 511          1702         Gd           2010    275500     34864
## 512          1422         Gd           2010    245000     34864
## 513          1113         Gd           2010    253000     34864
## 514          2458         Gd           2010    468000     22307
## 515           900         Gd           2010    252678     34864
## 516           768         Gd           2010    210000     34864
## 517          1218         Gd           2010    208300     34864
## 518          1436         Gd           2010    225000     34864
## 519          1300         Gd           2010    229456     34864
## 520          1402         Gd           2010    229800     34864
## 521          1530         Gd           2010    250000     34864
## 522          1766         Gd           2010    370878     22307
## 523          1372         Gd           2010    238500     34864
## 524          1017         Gd           2010    310000     22307
## 525           900         Gd           2010    270000     34864
## 526          1082         Gd           2010    252000     34864
## 527          1092         Gd           2010    241000     34864
## 528          1836         Gd           2010    264500     34864
## 529          1652         Gd           2010    291000     22307
## 530           912         Gd           2010    263000     34864
## 531          1221         Gd           2010    185000     34864
## 532          1193         Gd           2010    234500     34864
## 533           812         Gd           2010    209000     34864
## 534          1218         Gd           2010    159000     34864
## 535          1141         Gd           2010    152000     34864
## 536          1158         Gd           2010    143500     34864
## 537           835         Gd           2010    193000     34864
## 538           738         Gd           2010    203000     34864
## 539          1176         Gd           2010    184900     34864
## 540          1114         Gd           2010    159000     34864
## 541          1114         Gd           2010    142000     34864
## 542          1114         Gd           2010    153000     34864
## 543          1450         Gd           2010    224243     34864
## 544           913         Gd           2010    220000     34864
## 545          1844         Gd           2010    257000     34864
## 546          1454         Gd           2010    189000     34864
## 547           452         Ex           2010    171500     34864
## 548           626         Gd           2010    120000     34864
## 549          1332         Gd           2010    145000     34864
## 550           158         Gd           2010    184000     34864
## 551           676         Ex           2010    162000     34864
## 552             0         Gd           2010    160000     23614
## 553           721         TA           2010     82000     34864
## 554           784         Gd           2010     76000     34864
## 555            96         Gd           2010    110000     34864
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## 557           864         Gd           2010    141000     34864
## 558           864         Gd           2010    122000     34864
## 559          1024         Gd           2010    124100     34864
## 560           912         Ex           2010    129000     34864
## 561           864         Gd           2010    131400     34864
## 562           553         Gd           2010     62383     34864
## 563           322         Gd           2010    123000     34864
## 564          1922         Ex           2010    275000     34864
## 565           759         Ex           2010    235000     34864
## 566          1376         Gd           2010    280750     34864
## 567           612         Gd           2010    164500     34864
## 568           612         Gd           2010    173733     34864
## 569          1726         Gd           2010    222000     34864
## 570          1145         Gd           2010    195000     34864
## 571           729         Gd           2010    172500     34864
## 572           756         Gd           2010    180000     34864
## 573           691         Gd           2010    156000     34864
## 574           970         Gd           2010    172500     34864
## 575          1558         Ex           2010    318750     22307
## 576          1226         Gd           2010    211500     34864
## 577          1740         Gd           2010    241600     34864
## 578           392         Ex           2010    180500     34864
## 579          1281         Gd           2010    150000     34864
## 580           727         Gd           2010    154000     34864
## 581          1442         Gd           2010    185000     34864
## 582          1489         Gd           2010    185750     34864
## 583          1075         Gd           2010    200000     34864
## 584           710         Gd           2010    206000     34864
## 585           723         Gd           2010    162000     34864
## 586           932         Gd           2010    256900     34864
## 587          1680         Gd           2010    197900     34864
## 588          1141         Gd           2010    163000     34864
## 589          1216         Gd           2010    113000     34864
## 590           908         Ex           2010    230000     34864
## 591          1350         Gd           2010    167900     34864
## 592           523         Gd           2010    213250     34864
## 593           810         Gd           2010    227000     34864
## 594           864         Gd           2010    130000     34864
## 595          1568         Gd           2010    143000     34864
## 596           459         Gd           2010    117500     34864
## 597          1165         Gd           2010    168500     34864
## 598          1232         Gd           2010    172500     34864
## 599           742         Gd           2010    161500     34864
## 600           894         Gd           2010    141500     34864
## 601           864         Gd           2010    118000     34864
## 602           864         Gd           2010    127500     34864
## 603          1040         Gd           2010    140000     34864
## 604           847         Ex           2010    177625     34864
## 605          1584         Gd           2010    110000     34864
## 606          1171         Gd           2010    167000     34864
## 607           801         Gd           2010    153000     34864
## 608          1292         Ex           2010    145100     34864
## 609           924         Gd           2010    154000     34864
## 610           744         Ex           2010    177500     34864
## 611          1127         Ex           2010    158000     34864
## 612          1041         Gd           2010    124500     34864
## 613          1208         Gd           2010    174500     34864
## 614           713         Gd           2010    122000     34864
## 615           420         Gd           2010     82500     34864
## 616           709         Gd           2010    110000     34864
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## 618          1680         Gd           2010    175000     34864
## 619          1416         Gd           2010    167000     34864
## 620          1050         Gd           2010    128900     34864
## 621           856         Ex           2010    140000     34864
## 622          1113         Gd           2010    147000     34864
## 623          1584         Gd           2010    124000     34864
## 624          1453         Gd           2010    187500     34864
## 625          1394         Gd           2010    159000     34864
## 626          1562         Ex           2010    256000     34864
## 627           768         Gd           2010    205000     34864
## 628           896         Ex           2010    193500     34864
## 629          1392         Gd           2010    110000     34864
## 630           715         Ex           2010    104900     34864
## 631          1169         Gd           2010    150000     34864
## 632           817         Gd           2010    156500     34864
## 633          1329         Gd           2010    176000     34864
## 634           988         Gd           2010    149500     34864
## 635           620         Gd           2010    139000     34864
## 636          1215         Gd           2010    155000     34864
## 637          1000         Gd           2010    120000     34864
## 638           899         Gd           2010    153000     34864
## 639           450         Gd           2010    144000     34864
## 640           672         Gd           2010    176000     34864
## 641          1297         Gd           2010    153000     34864
## 642          1866         Gd           2010    135000     34864
## 643          1062         Gd           2010    131000     34864
## 644           428         Gd           2010    123000     34864
## 645           631         Gd           2010    126000     34864
## 646          1005         Gd           2010    115000     34864
## 647           828         Gd           2010    164900     34864
## 648           793         Ex           2010    113000     34864
## 649          1031         Gd           2010    145500     34864
## 650             0         Gd           2010    102900     23614
## 651           978         Gd           2010     95000     34864
## 652           699         Gd           2010    152500     34864
## 653          1200         Gd           2010    129900     34864
## 654           972         Ex           2010    132000     34864
## 655           792         Gd           2010     99900     34864
## 656           660         Gd           2010    135000     34864
## 657           676         Ex           2010    149000     34864
## 658           405         Ex           2010    114000     34864
## 659           768         Gd           2010    109500     34864
## 660          1054         Gd           2010    125000     22307
## 661          1313         Gd           2010    142900     34864
## 662           560         Ex           2010    156500     34864
## 663           416         Gd           2010     59000     34864
## 664           735         Gd           2010    105000     34864
## 665           720         Gd           2010    106000     34864
## 666           630         Gd           2010     78500     34864
## 667          1248         Gd           2010    190000     34864
## 668          1380         Gd           2010    154000     34864
## 669           980         Gd           2010    163000     34864
## 670          1248         Gd           2010    200000     34864
## 671           951         Ex           2010    143500     34864
## 672          1105         Gd           2010    135000     34864
## 673           992         Ex           2010    153000     34864
## 674          1478         Gd           2010    157500     34864
## 675           160         Gd           2010    113500     34864
## 676           832         Gd           2010    133000     34864
## 677             0         Gd           2010     92900     23614
## 678           795         Gd           2010    128500     34864
## 679             0         Gd           2010     90000     23614
## 680           856         Gd           2010    138000     34864
## 681          1041         Gd           2010    128000     34864
## 682          1029         Gd           2010    139000     34864
## 683           630         Ex           2010    118900     34864
## 684           433         Gd           2010    138000     34864
## 685          1148         Gd           2010    132500     34864
## 686           832         Gd           2010    133500     34864
## 687           864         Gd           2010    135000     34864
## 688           780         Gd           2010    144750     34864
## 689           941         Ex           2010    145000     34864
## 690          1045         Gd           2010    127000     34864
## 691           894         Gd           2010    109500     34864
## 692           818         Gd           2010    115000     34864
## 693           440         Gd           2010    110000     34864
## 694           901         Gd           2010    128900     34864
## 695           972         Gd           2010    103500     34864
## 696           676         Gd           2010     66500     34864
## 697           240         Ex           2010    130000     34864
## 698           504         Gd           2010    129000     34864
## 699           690         Gd           2010    150000     34864
## 700           994         Gd           2010    107500     34864
## 701           600         Gd           2010     94550     34864
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## 703           651         Ex           2010    135000     34864
## 704           801         Gd           2010    103000     34864
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## 706           768         Ex           2010    129500     34864
## 707           811         Gd           2010     93000     34864
## 708           861         Gd           2010     80000     34864
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## 710           600         Gd           2010     37900     34864
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## 714           677         Ex           2010     87500     34864
## 715           720         Gd           2010    110000     34864
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## 717          1240         Gd           2010    265979     34864
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## 719           624         Gd           2010    119000     22307
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## 721           624         Gd           2010     58500     34864
## 722           650         Ex           2010    143000     34864
## 723           557         Gd           2010     85000     34864
## 724          1088         Gd           2010    124900     34864
## 725           972         Gd           2010    119000     34864
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## 728           245         TA           2010     44000     34864
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## 730          1022         Gd           2010    149000     34864
## 731           952         Ex           2010    205000     22307
## 732           297         Gd           2010    137000     34864
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## 735           698         Gd           2010    134900     34864
## 736           884         Gd           2010    117000     34864
## 737           780         TA           2010    132500     34864
## 738           468         Gd           2010     93000     34864
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## 740          1145         Gd           2010    100000     34864
## 741           927         TA           2010    141500     34864
## 742           884         Gd           2010    133000     34864
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## 746           952         Gd           2010    150000     34864
## 747          1072         TA           2010    126500     34864
## 748           844         Gd           2010    214500     34864
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## 750          1048         Gd           2010    155000     34864
## 751           910         Gd           2010    155000     22307
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## 760           795         Ex           2010     70000     34864
## 761           436         Ex           2010    116000     34864
## 762           560         Ex           2010     88750     34864
## 763          1200         Gd           2010    179000     34864
## 764          1200         Ex           2010    179000     34864
## 765          1152         Gd           2010    159900     34864
## 766           683         TA           2010     61000     34864
## 767           672         Ex           2010    103600     34864
## 768           585         Gd           2010     63000     34864
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## 782          1104         Gd           2010    161500     34864
## 783          1437         Gd           2010    143000     22307
## 784          1134         Gd           2010    135000     34864
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## 790          1073         Gd           2010    121500     34864
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## 796           656         Gd           2010    139500     34864
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## 805          1079         Ex           2010    239900     34864
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## 808             0         TA           2010    118964     23614
## 809          1086         Gd           2010    153337     34864
## 810             0         Gd           2010    147983     23614
## 811             0         Gd           2010    118858     23614
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## 813             0         Gd           2010    142953     23614
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## 815             0         Gd           2010    113722     23614
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## 819          1555         Gd           2010    323262     22307
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## 824           866         Gd           2010    212000     34864
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## 835           249         Gd           2010    185000     34864
## 836          1040         Ex           2010    152000     34864
## 837           990         Ex           2010    143000     34864
## 838           928         Gd           2010    231500     34864
## 839           455         Gd           2010    212000     34864
## 840          1463         Gd           2010    207000     34864
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## 843           866         Gd           2010    197900     34864
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## 845          1431         Gd           2010    192000     34864
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## 857           864         Ex           2010    136500     34864
## 858          1268         Gd           2010    143500     34864
## 859           864         Gd           2010    133500     34864
## 860           894         Gd           2010    123000     34864
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## 862           768         Gd           2010    133000     34864
## 863          1569         Gd           2010    250000     34864
## 864          1068         Gd           2010    254750     34864
## 865          1753         Gd           2010    236500     22307
## 866          1299         Gd           2010    261500     22307
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## 879           848         Gd           2010    140000     34864
## 880          1578         Gd           2010    293200     34864
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## 883           738         Gd           2010    173500     34864
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## 885             0         Gd           2010    108000     23614
## 886          1486         Ex           2010    167000     34864
## 887           816         Gd           2010    100000     34864
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## 889           690         Gd           2010    159500     34864
## 890          1014         Gd           2010    127000     34864
## 891          1041         Gd           2010    125000     34864
## 892          1698         Gd           2010    320000     22307
## 893           547         Gd           2010    145500     34864
## 894           698         Ex           2010    118000     34864
## 895           633         Gd           2010     85000     34864
## 896          1078         Gd           2010    120000     34864
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## 898           864         Gd           2010     99900     34864
## 899             0         Gd           2010     82000     23614
## 900          1678         Gd           2010    119900     34864
## 901          1150         Gd           2010    103500     34864
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## 903           684         Gd           2010    110000     34864
## 904           720         Gd           2010    122000     34864
## 905           564         Gd           2010    117000     34864
## 906           832         Gd           2010    160000     34864
## 907           793         Gd           2010    159434     34864
## 908           290         Gd           2010     60000     34864
## 909           778         Gd           2010    139500     34864
## 910           824         Gd           2010    197000     34864
## 911           583         Gd           2010    105000     34864
## 912          1122         Gd           2010    135000     34864
## 913           816         Gd           2010    147500     34864
## 914           976         Gd           2010    137450     34864
## 915           350         Ex           2010    155000     34864
## 916           896         Gd           2010    177000     34864
## 917           861         Gd           2010    145000     34864
## 918           600         Gd           2010    137000     34864
## 919          1276         Gd           2010    234000     34864
## 920           840         Gd           2010    205000     34864
## 921           771         Gd           2010    177500     34864
## 922           728         Ex           2010    160000     34864
## 923          1273         Gd           2010    155000     34864
## 924           876         Ex           2010    163500     34864
## 925           731         Gd           2010    154900     34864
## 926           920         Gd           2010    205000     34864
## 927           418         Ex           2010    144800     34864
## 928           704         Gd           2010    174500     34864
## 929           686         Gd           2010    193000     34864
## 930           560         Gd           2010    158000     34864
## 931          1092         Ex           2010    158500     34864
## 932           875         Gd           2010    224000     34864
## 933           516         Gd           2010    115000     34864
## 934           561         Ex           2010    137000     34864
## 935           561         Gd           2010    121000     34864
## 936           561         Gd           2010    124000     34864
## 937           572         Ex           2010    208000     34864
## 938          1384         Ex           2010    315000     22307
## 939           880         Ex           2010    222000     34864
## 940           672         Ex           2010    147000     34864
## 941           760         Gd           2010    123000     34864
## 942           596         Gd           2010     78000     34864
## 943          1013         TA           2010     85000     34864
## 944           572         Gd           2010     75000     34864
## 945          1596         Gd           2010    230000     22307
## 946             0         TA           2010     57625     23614
## 947           857         Gd           2010    251000     34864
## 948          1434         Gd           2010    239686     34864
## 949          1710         Gd           2010    240000     34864
## 950           804         Gd           2010    215000     34864
## 951           902         Gd           2010    156450     34864
## 952           841         Gd           2010    173000     34864
## 953             0         Gd           2010    126000     23614
## 954          1188         Gd           2010    173000     34864
## 955          1582         Gd           2010    152000     34864
## 956           465         Gd           2010    137500     34864
## 957          1316         Gd           2010    375000     34864
## 958          1620         Gd           2010    315500     22307
## 959           846         Gd           2010    224500     34864
## 960          2190         Gd           2010    410000     22307
## 961          1641         Gd           2010    316500     22307
## 962          1466         Gd           2010    201000     34864
## 963          1392         Gd           2010    175000     34864
## 964           712         Ex           2010    204000     34864
## 965          1021         Gd           2010    213500     34864
## 966          1267         Gd           2010    220000     34864
## 967           912         Gd           2010    170000     34864
## 968          1838         Gd           2010    315000     22307
## 969          1978         Gd           2010    425000     22307
## 970          1008         Gd           2010    139500     34864
## 971             0         TA           2010    115000     23614
## 972          1204         Gd           2010    162000     34864
## 973          1224         Gd           2010    165000     34864
## 974           462         Gd           2010     91000     34864
## 975           864         Gd           2010    130000     34864
## 976           630         Ex           2010     86000     34864
## 977          1188         Gd           2010    160000     34864
## 978           630         Gd           2010     80000     34864
## 979           546         Gd           2010     97000     34864
## 980           273         Gd           2010     88000     34864
## 981           720         Gd           2010    131900     34864
## 982           114         Ex           2010    131250     34864
## 983          1097         Ex           2010    165500     34864
## 984           833         Gd           2010    112000     34864
## 985           718         Gd           2010    149000     34864
## 986           796         Gd           2010    143000     34864
## 987           624         Gd           2010    130000     34864
## 988          1567         Gd           2010    196000     34864
## 989           496         Ex           2010    173000     34864
## 990           773         Gd           2010    176500     34864
## 991          1205         Gd           2010    237500     34864
## 992           676         Gd           2010    206900     34864
## 993           926         Gd           2010    187500     34864
## 994           680         Gd           2010    165000     34864
## 995           926         Gd           2010    195500     34864
## 996           943         Gd           2010    192000     34864
## 997           916         Gd           2010    173000     34864
## 998          1348         Gd           2010    177900     34864
## 999           729         Gd           2010    175000     34864
## 1000         1593         Gd           2010    286000     22307
## 1001         1664         Gd           2010    247900     34864
## 1002         1337         Gd           2010    180000     34864
## 1003         1280         Gd           2010    180000     34864
## 1004          926         Gd           2010    181000     34864
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## 1006          773         Gd           2010    188000     34864
## 1007          712         Gd           2010    194500     34864
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## 1011         1168         Gd           2010    355000     22307
## 1012         1122         Gd           2010    325000     22307
## 1013         1884         Gd           2010    387000     22307
## 1014         1632         Gd           2010    115000     34864
## 1015         1710         Gd           2010    334000     22307
## 1016         1488         Gd           2010    133000     34864
## 1017          791         Ex           2010    215000     34864
## 1018         1675         Gd           2010    226500     22307
## 1019         1194         Ex           2010    175500     34864
## 1020         1260         Gd           2010    181900     34864
## 1021         1862         Ex           2010    235000     34864
## 1022         1333         Gd           2010    220000     34864
## 1023         1330         Ex           2010    272000     34864
## 1024         1163         Gd           2010    161000     34864
## 1025         1033         Gd           2010    175000     22307
## 1026          738         Gd           2010    185000     34864
## 1027          720         Gd           2010    146900     34864
## 1028         1420         Gd           2010    292500     34864
## 1029         1193         Gd           2010    180000     34864
## 1030         1444         Gd           2010    159900     34864
## 1031          803         Gd           2010    205000     34864
## 1032         1176         Gd           2010    157000     34864
## 1033         1236         Gd           2010    306000     34864
## 1034          896         Gd           2010    133000     34864
## 1035          616         Gd           2010    151000     34864
## 1036          936         Gd           2010    111900     34864
## 1037          251         Gd           2010    123000     34864
## 1038          864         Gd           2010    111250     34864
## 1039         1405         Gd           2010    181000     34864
## 1040          483         Gd           2010    103400     34864
## 1041          483         Gd           2010    100000     34864
## 1042          483         Gd           2010    100500     34864
## 1043          483         Gd           2010    106000     34864
## 1044          483         Gd           2010     85400     34864
## 1045          483         Gd           2010     89500     34864
## 1046          630         Gd           2010    111750     34864
## 1047         1069         Gd           2010    140000     34864
## 1048          561         Gd           2010    143000     34864
## 1049         1055         Gd           2010    148500     34864
## 1050          864         Gd           2010    110000     34864
## 1051         1932         Gd           2010    394617     22307
## 1052         1682         Gd           2010    426000     22307
## 1053         2078         Gd           2010    385000     22307
## 1054         1452         Gd           2010    446261     22307
## 1055         1582         Gd           2010    317500     34864
## 1056         1710         Gd           2010    372402     34864
## 1057         1923         Gd           2010    417500     22307
## 1058         1950         Gd           2010    383000     22307
## 1059         1850         Gd           2010    390000     22307
## 1060         1620         Gd           2010    460000     22307
## 1061         1414         Gd           2010    379000     22307
## 1062          948         Gd           2010    250000     34864
## 1063         1148         Gd           2010    316000     22307
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## 1065         1572         Gd           2010    412500     22307
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## 1067         1603         Gd           2010    284000     34864
## 1068         1479         Gd           2010    421250     34864
## 1069         1765         Gd           2010    370000     34864
## 1070         1858         Gd           2010    336860     22307
## 1071         1702         Gd           2010    367294     22307
## 1072         1367         Gd           2010    192000     34864
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## 1074         1684         Gd           2010    266000     22307
## 1075         1800         Gd           2010    370967     22307
## 1076         1342         Gd           2010    234250     34864
## 1077         1342         Gd           2010    219500     34864
## 1078          764         Gd           2010    155000     34864
## 1079          764         Gd           2010    154000     34864
## 1080         1358         Gd           2010    207000     34864
## 1081         1415         Gd           2010    195000     34864
## 1082         1393         Gd           2010    219990     34864
## 1083         1346         Gd           2010    191000     34864
## 1084         1266         Gd           2010    159895     34864
## 1085         1146         Gd           2010    187687     34864
## 1086          789         Gd           2010    179000     34864
## 1087          839         Gd           2010    193000     34864
## 1088          856         Gd           2010    190000     34864
## 1089          728         Gd           2010    176000     34864
## 1090          840         Gd           2010    188000     34864
## 1091          847         Gd           2010    213000     34864
## 1092         1350         Gd           2010    217300     34864
## 1093          936         Gd           2010    186500     34864
## 1094          982         Gd           2010    226750     34864
## 1095          788         Gd           2010    184000     34864
## 1096          707         Gd           2010    176000     34864
## 1097         1037         Gd           2010    225000     34864
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## 1099         1173         Gd           2010    284500     34864
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## 1102         1519         Gd           2010    291000     22307
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## 1104         1064         Gd           2010    279500     34864
## 1105         1242         Gd           2010    290000     34864
## 1106         2109         Ex           2010    350000     34864
## 1107         1311         Gd           2010    341000     34864
## 1108          228         Gd           2010    287500     34864
## 1109         1223         Gd           2010    271000     34864
## 1110         1986         Gd           2010    301500     34864
## 1111         1580         Gd           2010    235128     34864
## 1112          894         Gd           2010    214000     34864
## 1113         1574         Gd           2010    232000     34864
## 1114         1578         Gd           2010    240000     34864
## 1115         1498         Gd           2010    264132     22307
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## 1117         1417         Gd           2010    227680     22307
## 1118         1341         Gd           2010    257000     34864
## 1119          955         Gd           2010    297900     34864
## 1120         1460         Gd           2010    247000     34864
## 1121         1363         Gd           2010    212700     34864
## 1122         1372         Gd           2010    250580     34864
## 1123         1428         Gd           2010    182000     34864
## 1124          866         Gd           2010    226700     34864
## 1125         1053         Gd           2010    250000     34864
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## 1127         1034         Gd           2010    339750     22307
## 1128          813         Gd           2010    205950     34864
## 1129         1660         Gd           2010    256000     34864
## 1130         1218         Gd           2010    230348     34864
## 1131          864         Gd           2010    207500     34864
## 1132         1080         Gd           2010    141000     34864
## 1133          280         Gd           2010    188000     34864
## 1134          835         Gd           2010    192500     34864
## 1135         1175         Gd           2010    146000     34864
## 1136         1114         Gd           2010    159000     34864
## 1137         1114         Gd           2010    155000     34864
## 1138          798         Gd           2010    173000     34864
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## 1578          384         Gd           2010    167500     34864
## 1579          796         Gd           2010    218689     34864
## 1580         1495         Gd           2010    150000     34864
## 1581         1398         Gd           2010    184000     34864
## 1582         1196         Ex           2010    180000     34864
## 1583         1461         Gd           2010    175000     34864
## 1584         1432         Gd           2010    232500     34864
## 1585         1666         Gd           2010    195000     34864
## 1586         1482         Gd           2010    305000     34864
## 1587         1884         Gd           2010    298751     34864
## 1588         1964         Gd           2010    370000     34864
## 1589         1344         Ex           2010    209200     34864
## 1590         1344         Ex           2010    206300     34864
## 1591         1092         Gd           2010    146000     34864
## 1592         1189         Gd           2010    160500     34864
## 1593          953         Gd           2010    173000     34864
## 1594         1040         Gd           2010    124000     34864
## 1595          264         Gd           2010    115000     34864
## 1596          550         Gd           2010    129500     34864
## 1597          526         Ex           2010    105000     34864
## 1598          462         Gd           2010     94900     34864
## 1599         1113         Ex           2010    152500     34864
## 1600          546         Ex           2010     98000     34864
## 1601          630         Ex           2010     81000     34864
## 1602          988         Gd           2010    113000     34864
## 1603          816         Ex           2010    128500     34864
## 1604          876         Gd           2010    119500     34864
## 1605          816         Ex           2010    130500     34864
## 1606          816         Ex           2010    138000     34864
## 1607          845         Gd           2010    134500     34864
## 1608          983         Gd           2010    160000     34864
## 1609          864         Gd           2010    137500     34864
## 1610          591         Gd           2010    172000     34864
## 1611          686         Gd           2010    103000     34864
## 1612         1587         Gd           2010    167300     34864
## 1613         1277         Ex           2010    167000     34864
## 1614         2223         Ex           2010    244000     34864
## 1615         1394         Ex           2010    268000     34864
## 1616          847         Gd           2010    225000     34864
## 1617          806         Gd           2010    168000     34864
## 1618          794         Gd           2010    177000     34864
## 1619          916         Gd           2010    169000     34864
## 1620          384         Gd           2010    161500     34864
## 1621         1494         Gd           2010    251000     22307
## 1622          392         Gd           2010    160000     34864
## 1623          923         Gd           2010    180000     34864
## 1624          691         Gd           2010    178750     34864
## 1625         1237         Gd           2010    176000     34864
## 1626          938         Gd           2010    204000     34864
## 1627         1168         Gd           2010    160000     34864
## 1628          384         Gd           2010    160000     34864
## 1629          384         Gd           2010    163900     34864
## 1630          903         Gd           2010    168000     34864
## 1631         1302         Gd           2010    154204     34864
## 1632         1074         Gd           2010    170000     34864
## 1633         1008         Gd           2010    207500     34864
## 1634         1166         Gd           2010    182000     34864
## 1635         1312         Gd           2010    212000     34864
## 1636         1922         Gd           2010    377426     34864
## 1637         1149         Gd           2010    349265     22307
## 1638         2660         Gd           2010    591587     34864
## 1639         1100         Gd           2010    155000     34864
## 1640         1612         Gd           2010    319900     22307
## 1641         1419         Gd           2010    392000     34864
## 1642         2220         Gd           2010    441929     34864
## 1643         1742         Gd           2010    455000     22307
## 1644         1440         Ex           2010    182900     34864
## 1645         1284         Gd           2010    174000     34864
## 1646          585         Gd           2010    178000     34864
## 1647          725         Gd           2010    176000     34864
## 1648         1529         Gd           2010    213000     34864
## 1649          780         Gd           2010    192000     34864
## 1650          808         Gd           2010    190000     34864
## 1651          848         Gd           2010    195000     34864
## 1652         1032         Gd           2010    148000     34864
## 1653         1153         Gd           2010    151500     34864
## 1654          429         Gd           2010    197000     34864
## 1655         1259         Gd           2010    192350     34864
## 1656          493         Gd           2010    152000     34864
## 1657         1504         Gd           2010    170000     34864
## 1658         1484         Gd           2010    175000     34864
## 1659          527         Gd           2010    175000     34864
## 1660          793         Gd           2010    197900     34864
## 1661          624         Gd           2010    174000     34864
## 1662          931         Gd           2010    178900     34864
## 1663          372         Gd           2010    139000     34864
## 1664          946         Gd           2010    143250     34864
## 1665          725         Gd           2010    184000     34864
## 1666          925         Gd           2010    155000     34864
## 1667          295         Gd           2010    133000     22307
## 1668          663         Gd           2010    119500     34864
## 1669          858         Gd           2010    123000     34864
## 1670          858         Gd           2010    110000     34864
## 1671          914         Ex           2010    128000     34864
## 1672          864         Gd           2010    120500     34864
## 1673          584         Gd           2010    133000     34864
## 1674         1337         Gd           2010    155000     34864
## 1675         1405         Gd           2010    177000     34864
## 1676          525         Gd           2010    113500     34864
## 1677          672         Gd           2010    113000     34864
## 1678          672         Gd           2010    113700     22307
## 1679          630         Gd           2010    106000     34864
## 1680          765         Gd           2010    122500     34864
## 1681         1078         Gd           2010    128000     34864
## 1682          804         Gd           2010    155000     34864
## 1683         1055         Gd           2010    142500     34864
## 1684          988         Gd           2010    129250     34864
## 1685         1790         Gd           2010    356000     22307
## 1686         1822         Gd           2010    314813     34864
## 1687         1694         Gd           2010    318000     34864
## 1688         1694         Gd           2010    322400     34864
## 1689         1734         Gd           2010    318000     22307
## 1690         2108         Gd           2010    345474     34864
## 1691         2121         Gd           2010    415298     22307
## 1692         1934         Gd           2010    492000     22307
## 1693         1108         Gd           2010    338931     22307
## 1694         1994         Gd           2010    450000     22307
## 1695         1063         Gd           2010    280000     34864
## 1696         2552         Gd           2010    479069     22307
## 1697         1935         Gd           2010    395000     34864
## 1698         2153         Gd           2010    380000     22307
## 1699         1626         Gd           2010    250000     34864
## 1700         1976         Gd           2010    440000     34864
## 1701         1704         Gd           2010    418000     22307
## 1702         2320         Gd           2010    500067     22307
## 1703         1582         Gd           2010    260116     34864
## 1704         1143         Gd           2010    317000     34864
## 1705          918         Gd           2010    319500     22307
## 1706         1582         Gd           2010    325624     22307
## 1707         1802         Gd           2010    372000     22307
## 1708         1706         Gd           2010    342000     22307
## 1709         1136         Gd           2010    354000     34864
## 1710         1317         Gd           2010    350000     34864
## 1711         1181         Gd           2010    285000     22307
## 1712          895         Gd           2010    281500     22307
## 1713         1614         Gd           2010    245700     34864
## 1714         1721         Gd           2010    232698     34864
## 1715         1298         Gd           2010    250000     34864
## 1716         1362         Gd           2010    194700     34864
## 1717         1302         Gd           2010    204000     34864
## 1718         1302         Gd           2010    200000     34864
## 1719         1362         Gd           2010    207000     34864
## 1720         1554         Gd           2010    209500     34864
## 1721         1554         Gd           2010    209500     34864
## 1722         1370         Gd           2010    202500     34864
## 1723         1577         Gd           2010    280000     22307
## 1724         1561         Gd           2010    277500     22307
## 1725         1869         Gd           2010    318061     22307
## 1726         1324         Gd           2010    221370     34864
## 1727         1405         Gd           2010    200000     34864
## 1728          768         Gd           2010    181755     34864
## 1729          768         Gd           2010    176000     34864
## 1730          783         Gd           2010    178900     34864
## 1731          608         Gd           2010    168165     34864
## 1732          738         Gd           2010    171925     34864
## 1733          698         Gd           2010    198444     34864
## 1734         1326         Gd           2010    203000     34864
## 1735          728         Gd           2010    179540     34864
## 1736         1302         Gd           2010    176485     34864
## 1737         1340         Gd           2010    181134     34864
## 1738          616         Gd           2010    156932     34864
## 1739          752         Gd           2010    166000     34864
## 1740          728         Gd           2010    177594     34864
## 1741         1246         Gd           2010    173500     34864
## 1742         1258         Gd           2010    172500     34864
## 1743         1258         Gd           2010    194201     34864
## 1744         1406         Gd           2010    226500     34864
## 1745         1266         Gd           2010    185485     34864
## 1746         1530         Gd           2010    259000     34864
## 1747          835         Gd           2010    188500     34864
## 1748          384         Gd           2010    175000     34864
## 1749          847         Gd           2010    215000     34864
## 1750         1510         Gd           2010    206580     34864
## 1751          840         Gd           2010    183500     34864
## 1752          384         Gd           2010    165500     34864
## 1753          847         Gd           2010    211000     34864
## 1754          924         Gd           2010    181000     34864
## 1755          854         Gd           2010    219500     34864
## 1756          953         Gd           2010    175000     34864
## 1757          384         Gd           2010    170000     34864
## 1758          660         Gd           2010    162000     34864
## 1759          915         Gd           2010    187000     34864
## 1760          941         Gd           2010    185000     34864
## 1761         2396         Gd           2010    745000     22307
## 1762         1779         Gd           2010    384500     34864
## 1763          969         Gd           2010    248000     34864
## 1764         2633         Gd           2010    466500     22307
## 1765         1408         Gd           2010    410000     34864
## 1766         1389         Gd           2010    322500     34864
## 1767         1066         Gd           2010    252000     34864
## 1768         2444         Gd           2010    755000     22307
## 1769         1117         Gd           2010    269790     34864
## 1770         1379         Gd           2010    315750     34864
## 1771         1203         Gd           2010    290000     34864
## 1772         1254         Gd           2010    290000     34864
## 1773         3200         Gd           2010    430000     34864
## 1774         1105         Gd           2010    263000     34864
## 1775         1325         Ex           2010    330000     34864
## 1776         1369         Gd           2010    213133     34864
## 1777         1542         Gd           2010    260261     34864
## 1778         1905         Gd           2010    320000     22307
## 1779         1485         Gd           2010    282922     34864
## 1780         1524         Gd           2010    215000     34864
## 1781         1966         Gd           2010    419005     22307
## 1782         1623         Gd           2010    255000     34864
## 1783         1795         Gd           2010    147000     34864
## 1784         1528         Gd           2010    235876     34864
## 1785         1726         Gd           2010    311872     22307
## 1786         1689         Gd           2010    248328     34864
## 1787         1588         Gd           2010    227000     34864
## 1788         1538         Gd           2010    260000     34864
## 1789         1496         Gd           2010    225000     34864
## 1790         1494         Gd           2010    249000     34864
## 1791         1686         Gd           2010    307000     34864
## 1792          982         Gd           2010    250000     34864
## 1793         1302         Gd           2010    221300     34864
## 1794         1338         Gd           2010    208900     34864
## 1795         1335         Gd           2010    210400     34864
## 1796          896         Gd           2010    255000     34864
## 1797          725         Gd           2010    212109     34864
## 1798         1088         Gd           2010    270000     34864
## 1799         1184         Gd           2010    303477     22307
## 1800          955         Gd           2010    310013     22307
## 1801         1656         Gd           2010    249700     34864
## 1802          874         Gd           2010    227875     34864
## 1803         1574         Gd           2010    261329     22307
## 1804         1685         Gd           2010    253000     34864
## 1805         1158         Gd           2010    265000     34864
## 1806         1580         Gd           2010    340000     34864
## 1807         1100         Gd           2010    146000     34864
## 1808         1143         Gd           2010    147000     34864
## 1809         1094         Gd           2010    149000     34864
## 1810         1461         Gd           2010    181000     34864
## 1811          928         Ex           2010    201000     34864
## 1812          864         Gd           2010    191750     34864
## 1813         1349         Gd           2010    179000     34864
## 1814         1482         Gd           2010    215000     34864
## 1815         1575         Gd           2010    179200     34864
## 1816          630         Gd           2010    128000     34864
## 1817          747         Gd           2010    144000     34864
## 1818            0         Gd           2010    144000     23614
## 1819          543         Gd           2010    120750     34864
## 1820          970         Gd           2010    132500     34864
## 1821         1057         Gd           2010    132000     34864
## 1822          999         Ex           2010    132500     34864
## 1823         1040         Gd           2010    129000     34864
## 1824         1140         Ex           2010    143900     34864
## 1825         1040         Gd           2010    145000     34864
## 1826          988         Gd           2010    128500     34864
## 1827          876         Gd           2010    125500     34864
## 1828         1223         Gd           2010    300000     34864
## 1829          161         Gd           2010    294000     34864
## 1830         1037         Gd           2010    129000     34864
## 1831         1390         Gd           2010    171000     34864
## 1832         1044         Gd           2010    147000     34864
## 1833         1453         Gd           2010    302000     34864
## 1834         1683         Gd           2010    285000     34864
## 1835         1378         Gd           2010    214000     34864
## 1836         1141         Gd           2010    166000     34864
## 1837         1511         Gd           2010    193800     34864
## 1838         1352         Gd           2010    208900     34864
## 1839         1352         Gd           2010    194000     34864
## 1840         1550         Gd           2010    207500     34864
## 1841         1241         Gd           2010    199900     34864
## 1842          625         Gd           2010    164700     34864
## 1843          744         Gd           2010    176500     34864
## 1844          729         Gd           2010    176000     34864
## 1845          756         Gd           2010    168500     34864
## 1846          756         Gd           2010    177000     34864
## 1847          756         Gd           2010    177000     34864
## 1848          551         Gd           2010    148800     34864
## 1849          776         Gd           2010    174000     34864
## 1850          975         Gd           2010    239000     34864
## 1851         1339         Gd           2010    204000     34864
## 1852         1054         Gd           2010    301000     34864
## 1853         1220         Ex           2010    312500     34864
## 1854          457         Gd           2010    279700     34864
## 1855         2002         Gd           2010    255000     34864
## 1856          969         Gd           2010    194000     34864
## 1857         1437         Ex           2010    218000     34864
## 1858          881         Gd           2010    213750     34864
## 1859          528         Ex           2010    187000     34864
## 1860         1262         Gd           2010    181500     34864
## 1861         1632         Gd           2010    373000     34864
## 1862         1150         Gd           2010    190000     34864
## 1863         1057         Gd           2010    226000     34864
## 1864          912         Gd           2010    143450     34864
## 1865         1008         Gd           2010    240050     34864
## 1866          973         Gd           2010    162500     34864
## 1867         1295         Gd           2010    164000     34864
## 1868         1124         Gd           2010    185000     34864
## 1869         1594         Gd           2010    188500     34864
## 1870         1148         Gd           2010    255000     34864
## 1871         1680         Gd           2010    136905     34864
## 1872         1093         Gd           2010    158500     34864
## 1873         1242         Gd           2010    175500     34864
## 1874          788         Gd           2010    127000     34864
## 1875          911         Gd           2010    127000     34864
## 1876         1214         Gd           2010    143000     34864
## 1877         1073         Gd           2010    156000     34864
## 1878          650         Gd           2010    144000     34864
## 1879         1464         Gd           2010    119000     34864
## 1880            0         Gd           2010    103000     23614
## 1881          978         Gd           2010    139900     34864
## 1882          958         Ex           2010    151500     34864
## 1883         1065         Gd           2010    126500     34864
## 1884          588         Ex           2010    145000     34864
## 1885          633         Gd           2010    120000     34864
## 1886          688         Gd           2010    124000     34864
## 1887            0         Gd           2010    106500     23614
## 1888          697         Gd           2010    140500     34864
## 1889          964         Ex           2010    137500     34864
## 1890          894         Gd           2010    117600     34864
## 1891         1174         Gd           2010    163500     34864
## 1892         1042         Gd           2010    161000     34864
## 1893          722         Gd           2010    158000     34864
## 1894          845         Ex           2010    224500     34864
## 1895          587         Gd           2010    147000     34864
## 1896         1592         Ex           2010    200000     34864
## 1897          925         Gd           2010    181900     34864
## 1898         1063         Gd           2010    150750     34864
## 1899            0         Gd           2010    101800     23614
## 1900          932         Gd           2010    124000     34864
## 1901          563         Gd           2010    138500     34864
## 1902            0         TA           2010     39300     23614
## 1903          666         TA           2010     64500     34864
## 1904          370         Gd           2010     64000     34864
## 1905          404         Gd           2010    112000     34864
## 1906          816         Gd           2010    165000     34864
## 1907         1078         Ex           2010    144000     34864
## 1908          928         Gd           2010    137000     34864
## 1909          727         Gd           2010    105000     34864
## 1910          728         Gd           2010    146500     34864
## 1911         1560         Gd           2010    126000     34864
## 1912          793         Gd           2010    175000     34864
## 1913         1218         Gd           2010    158500     34864
## 1914          912         Gd           2010    114500     34864
## 1915          874         Gd           2010    144000     34864
## 1916          298         Ex           2010    129000     34864
## 1917          936         Gd           2010    141000     34864
## 1918         1008         Gd           2010    131000     34864
## 1919         1053         Gd           2010    142100     34864
## 1920         1056         Gd           2010    139000     34864
## 1921         1442         Gd           2010    157900     34864
## 1922          588         Gd           2010    139400     34864
## 1923         1244         Gd           2010    150000     34864
## 1924         1144         Gd           2010    120000     34864
## 1925         1193         Gd           2010    174850     34864
## 1926          922         Gd           2010    116000     34864
## 1927         1048         Gd           2010    135000     34864
## 1928         1657         Gd           2010    163500     34864
## 1929         1204         Gd           2010    130000     34864
## 1930         1216         Gd           2010    129500     34864
## 1931          864         Ex           2010    142000     22307
## 1932         1560         Gd           2010    128600     34864
## 1933          948         Gd           2010    125000     34864
## 1934           85         Gd           2010    136000     34864
## 1935         1008         Gd           2010    134500     34864
## 1936          234         Ex           2010    127000     34864
## 1937          384         Gd           2010    130000     34864
## 1938         1190         Gd           2010    115000     34864
## 1939          923         Ex           2010    116900     34864
## 1940          928         Gd           2010    132000     34864
## 1941          751         Gd           2010    153000     34864
## 1942          924         Gd           2010    112500     34864
## 1943          925         Ex           2010    138000     34864
## 1944          845         Gd           2010    135000     34864
## 1945         1216         Gd           2010    156000     34864
## 1946          666         Gd           2010    301600     34864
## 1947          735         Gd           2010    109000     34864
## 1948          882         Gd           2010    103200     34864
## 1949         1085         Gd           2010    128500     34864
## 1950          656         Gd           2010     64500     34864
## 1951          736         Ex           2010    148000     34864
## 1952          691         Gd           2010     86000     22307
## 1953          242         Gd           2010    172000     34864
## 1954          920         Gd           2010    120000     34864
## 1955          952         Gd           2010    128500     34864
## 1956         1040         Gd           2010    135000     34864
## 1957          672         Ex           2010    122900     34864
## 1958         1082         Gd           2010    119200     34864
## 1959         1040         Gd           2010    143000     34864
## 1960          780         Gd           2010    119000     34864
## 1961          864         Gd           2010    102000     34864
## 1962          715         Gd           2010    129000     34864
## 1963         1010         Gd           2010    135000     34864
## 1964         1040         Gd           2010    152000     34864
## 1965         1170         Gd           2010    140000     34864
## 1966         1242         Gd           2010    152000     34864
## 1967         1223         Gd           2010    156500     34864
## 1968         1800         Gd           2010    141000     34864
## 1969            0         Gd           2010     99000     23614
## 1970          705         Gd           2010    187000     34864
## 1971          864         Gd           2010    169500     34864
## 1972          422         Gd           2010    125500     34864
## 1973          896         Gd           2010    130000     34864
## 1974          850         Ex           2010    103000     34864
## 1975          264         Ex           2010    132000     34864
## 1976          845         Gd           2010    127500     34864
## 1977         1022         Gd           2010     89500     34864
## 1978          936         Gd           2010    140000     34864
## 1979          967         Gd           2010     99900     34864
## 1980          641         Gd           2010    100000     34864
## 1981          808         Gd           2010    130000     34864
## 1982          680         Gd           2010    135000     34864
## 1983          649         Ex           2010    120000     34864
## 1984          907         Gd           2010     89471     34864
## 1985          122         Gd           2010     85000     34864
## 1986          960         Gd           2010    108500     34864
## 1987         1075         Gd           2010    137000     34864
## 1988          686         Ex           2010    110500     34864
## 1989          968         Gd           2010    100000     34864
## 1990          725         Ex           2010    184900     34864
## 1991          518         Gd           2010    145000     34864
## 1992          702         Gd           2010    125000     34864
## 1993          616         Gd           2010    114000     34864
## 1994          662         Gd           2010     90000     34864
## 1995          926         Gd           2010    144100     34864
## 1996         1008         Gd           2010    117500     34864
## 1997          687         Ex           2010    124500     34864
## 1998          819         Ex           2010    185000     34864
## 1999         1214         Gd           2010    133900     34864
## 2000         1149         Ex           2010    152000     34864
## 2001         1559         Gd           2010    153500     34864
## 2002          718         Ex           2010    159500     34864
## 2003          912         Gd           2010     87000     34864
## 2004            0         Gd           2010    104500     23614
## 2005            0         Gd           2010    110000     23614
## 2006          529         Ex           2010    136500     34864
## 2007          910         Gd           2010    128250     34864
## 2008          915         TA           2010    144000     34864
## 2009         1065         Gd           2010    210000     34864
## 2010          728         Ex           2010    135000     34864
## 2011          600         Gd           2010    128000     34864
## 2012          735         Ex           2010    131000     34864
## 2013          884         Gd           2010    113000     34864
## 2014          861         Gd           2010    126000     34864
## 2015          672         Ex           2010    132000     34864
## 2016          966         Gd           2010    131750     34864
## 2017          756         Gd           2010    132500     34864
## 2018          939         Gd           2010    137500     34864
## 2019          832         Gd           2010    132000     34864
## 2020          884         Gd           2010    127500     34864
## 2021          960         Gd           2010    102000     34864
## 2022         1100         Ex           2010    200000     34864
## 2023          764         Gd           2010    180500     34864
## 2024          768         Ex           2010    165000     34864
## 2025          750         Gd           2010     90000     34864
## 2026          698         Gd           2010    153575     34864
## 2027          672         Gd           2010    140000     34864
## 2028          168         Ex           2010    136000     34864
## 2029          592         Gd           2010    113000     34864
## 2030          969         Gd           2010    117000     34864
## 2031         1040         TA           2010    169500     34864
## 2032          637         Gd           2010    139400     34864
## 2033          741         Gd           2010    202500     34864
## 2034          684         Gd           2010    127000     34864
## 2035          780         Ex           2010    141000     34864
## 2036          578         Ex           2010    212300     34864
## 2037         1138         Gd           2010    161000     34864
## 2038          681         Gd           2010     99500     34864
## 2039          530         Gd           2010    101000     34864
## 2040         1196         Gd           2010    109900     34864
## 2041          720         Gd           2010    128500     34864
## 2042          925         Gd           2010    122000     34864
## 2043          672         Ex           2010     87000     34864
## 2044          771         TA           2010     50000     34864
## 2045         1005         Ex           2010    219000     34864
## 2046         1129         Gd           2010    200500     22307
## 2047          756         Gd           2010    126000     34864
## 2048          672         Gd           2010    108500     34864
## 2049          925         Gd           2010    130000     34864
## 2050         1420         Gd           2010    158450     34864
## 2051          861         Gd           2010    115400     34864
## 2052         1029         TA           2010    118500     34864
## 2053          258         Ex           2010    165000     34864
## 2054          279         Gd           2010    123000     34864
## 2055          187         Gd           2010    129000     34864
## 2056          520         Gd           2010    125000     34864
## 2057          948         Gd           2010    108000     34864
## 2058          768         Gd           2010    119900     34864
## 2059          588         Gd           2010    115000     34864
## 2060          414         Ex           2010    134500     34864
## 2061          955         Gd           2010    127000     34864
## 2062          894         Gd           2010    129000     34864
## 2063          660         Gd           2010    143500     34864
## 2064          477         Ex           2010    129000     34864
## 2065          718         Gd           2010    187000     34864
## 2066          671         TA           2010    158000     34864
## 2067          816         Ex           2010    112000     34864
## 2068          680         Gd           2010    165250     34864
## 2069          967         Gd           2010    150000     34864
## 2070          285         Gd           2010    137000     34864
## 2071            0         Gd           2010     89500     23614
## 2072         1643         Gd           2010    302000     34864
## 2073          299         Gd           2010    182000     34864
## 2074         1151         Gd           2010    211000     34864
## 2075          409         Ex           2010    216000     34864
## 2076         1073         Gd           2010    130000     34864
## 2077          484         Gd           2010    109900     34864
## 2078         1288         Ex           2010    255000     34864
## 2079         1202         Gd           2010    243000     34864
## 2080          988         Gd           2010    154000     34864
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## 2084          528         Gd           2010     86000     34864
## 2085          283         Ex           2010    130000     34864
## 2086         1342         Gd           2010    125000     34864
## 2087         1080         Gd           2010    136500     34864
## 2088          951         TA           2010     96000     34864
## 2089            0         Gd           2010    120000     23614
## 2090         1105         Gd           2010    228500     34864
## 2091          910         Gd           2010    179900     34864
## 2092          700         Gd           2010    225000     34864
## 2093           28         Gd           2010    301000     34864
## 2094          470         Gd           2010    238000     34864
## 2095          807         Gd           2010    228500     34864
## 2096          779         Ex           2010    220000     34864
## 2097         1264         Gd           2010    383970     22307
## 2098         1466         Gd           2010    424870     34864
## 2099         1643         Gd           2010    250000     34864
## 2100         2140         Gd           2010    360000     34864
## 2101         1494         Gd           2010    279500     34864
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## 2103         1643         Gd           2010    246500     34864
## 2104         1482         Gd           2010    276000     22307
## 2105         1274         Gd           2010    203000     34864
## 2106          728         Gd           2010    155835     34864
## 2107         1240         Gd           2010    194000     34864
## 2108         1208         Gd           2010    195400     34864
## 2109         1546         Gd           2010    217000     34864
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## 2111         1270         Gd           2010    175900     34864
## 2112          879         Gd           2010    191000     34864
## 2113         1314         Gd           2010    176432     34864
## 2114         1157         Gd           2010    277000     34864
## 2115          608         Gd           2010    207000     34864
## 2116         1444         Gd           2010    277000     34864
## 2117         1580         Gd           2010    240000     34864
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## 2119           51         Gd           2010    279000     34864
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## 2121          990         Gd           2010    126000     34864
## 2122          656         Ex           2010    177500     34864
## 2123          635         Ex           2010    175000     34864
## 2124          794         Gd           2010    211000     34864
## 2125          990         Ex           2010    146000     34864
## 2126         1097         Gd           2010    147900     34864
## 2127          990         Gd           2010    123600     34864
## 2128          824         Ex           2010    204750     34864
## 2129          988         Gd           2010    235500     34864
## 2130          853         Gd           2010    217000     34864
## 2131          845         Gd           2010    190550     34864
## 2132          985         Gd           2010    217500     34864
## 2133         1453         Gd           2010    226000     34864
## 2134          840         Gd           2010    180000     34864
## 2135          864         Gd           2010    131000     34864
## 2136         1015         Ex           2010    153500     34864
## 2137          995         Gd           2010    160000     34864
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## 2139          459         Gd           2010    130000     34864
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## 2141          414         Gd           2010    112500     34864
## 2142          969         Gd           2010    122000     34864
## 2143          864         Gd           2010    127000     22307
## 2144          385         Ex           2010    117000     34864
## 2145         2000         Gd           2010    305900     34864
## 2146         1284         Gd           2010    228500     34864
## 2147         1673         Gd           2010    270000     34864
## 2148         1459         Gd           2010    192000     34864
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## 2150          860         Gd           2010    200000     34864
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## 2154          860         Gd           2010    211000     34864
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## 2156         1220         Gd           2010    240000     34864
## 2157          848         Gd           2010    131500     34864
## 2158         1341         Gd           2010    246900     34864
## 2159          847         Gd           2010    219500     34864
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## 2161          738         Gd           2010    179400     34864
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## 2167          768         Gd           2010    167000     34864
## 2168         1118         Gd           2010    140000     34864
## 2169          936         Gd           2010    118500     34864
## 2170          247         Ex           2010    110000     34864
## 2171          960         Gd           2010     94750     34864
## 2172          796         Ex           2010    122000     34864
## 2173         1179         Gd           2010    110000     34864
## 2174          816         Ex           2010    118500     34864
## 2175          960         TA           2010    133500     34864
## 2176         1143         Ex           2010    148000     34864
## 2177            0         Gd           2010    141000     23614
## 2178         1125         Gd           2010    155000     34864
## 2179         1090         Gd           2010    157000     34864
## 2180          734         Gd           2010    171500     34864
## 2181         5095         Gd           2010    183850     22307
## 2182         3138         Gd           2010    184750     22307
## 2183          547         Gd           2010    140000     34864
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## 2185            0         Gd           2010     61500     23614
## 2186          864         Gd           2010    111000     34864
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## 2193          864         Gd           2010     79275     34864
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## 2195         1440         Gd           2010    200000     34864
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## 2197          602         Ex           2010    165000     34864
## 2198          768         Gd           2010     96500     34864
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## 2200          651         Gd           2010    146500     34864
## 2201          731         Gd           2010    175000     34864
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## 2203          585         Gd           2010    141500     34864
## 2204          912         Gd           2010    189950     34864
## 2205          686         Gd           2010    135000     34864
## 2206          918         Ex           2010    164000     34864
## 2207          440         Gd           2010     90350     34864
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## 2209          920         Ex           2010    119750     34864
## 2210          979         Gd           2010    145000     34864
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## 2212          851         Gd           2010    238000     34864
## 2213            0         Gd           2010    153500     23614
## 2214         1370         Gd           2010    239000     34864
## 2215          965         Gd           2010    359100     34864
## 2216          930         Ex           2010    188000     34864
## 2217          297         Gd           2010    220000     34864
## 2218          728         Gd           2010    140000     34864
## 2219          853         Gd           2010    315000     34864
## 2220          878         Gd           2010    259500     34864
## 2221         1477         Gd           2010    257500     34864
## 2222          800         Gd           2010    219500     34864
## 2223          940         Ex           2010    217000     34864
## 2224          540         TA           2010    201000     34864
## 2225         1488         Gd           2010    215000     34864
## 2226          516         Ex           2010    123900     34864
## 2227         1680         Gd           2010    170000     34864
## 2228         1004         Gd           2010    200000     34864
## 2229         1696         Gd           2010    198000     34864
## 2230         2035         Gd           2010    200624     34864
## 2231          279         Gd           2010    315000     34864
## 2232          793         Gd           2010    115000     34864
## 2233          720         Gd           2010    141000     34864
## 2234          720         Gd           2010     87000     34864
## 2235          936         Ex           2010    129850     34864
## 2236          732         Gd           2010    100000     34864
## 2237          859         Gd           2010    150909     34864
## 2238          816         Gd           2010     75200     34864
## 2239         1012         Gd           2010    118400     34864
## 2240          961         TA           2010     67000     34864
## 2241          910         Gd           2010    152000     34864
## 2242            0         Gd           2010     68104     23614
## 2243          957         Ex           2010    119600     34864
## 2244         1073         Gd           2010    140000     34864
## 2245          837         Gd           2010    124900     34864
## 2246         1573         Gd           2010    375000     34864
## 2247         1573         Gd           2010    235000     34864
## 2248         1001         Gd           2010    183500     34864
## 2249          888         Gd           2010    156000     34864
## 2250         1084         Ex           2010    134000     34864
## 2251         1441         Gd           2010    215000     34864
## 2252         1409         Gd           2010    245000     34864
## 2253         1454         Gd           2010    210000     34864
## 2254          322         Gd           2010    148000     34864
## 2255          970         Gd           2010    143000     34864
## 2256         1501         Gd           2010    244000     34864
## 2257         1430         Gd           2010    330000     34864
## 2258         1350         Ex           2010    170000     34864
## 2259          585         Ex           2010    257000     34864
## 2260         1689         Gd           2010    231713     34864
## 2261         1546         Gd           2010    267300     22307
## 2262         1476         Gd           2010    265900     22307
## 2263         1571         Gd           2010    239000     34864
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## 2265         1185         Gd           2010    174000     34864
## 2266         1156         Ex           2010    187500     34864
## 2267          872         Gd           2010    204000     34864
## 2268         1267         Gd           2010    180500     34864
## 2269          868         Gd           2010    187500     34864
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## 2271         1491         Gd           2010    178000     34864
## 2272         1616         Gd           2010    270000     34864
## 2273         1122         Gd           2010    279900     34864
## 2274         1572         Gd           2010    186700     34864
## 2275         1732         Gd           2010    283463     34864
## 2276         1824         Gd           2010    392000     22307
## 2277         1094         Gd           2010    281213     34864
## 2278         1120         Gd           2010    147000     34864
## 2279            0         Gd           2010    130000     23614
## 2280           16         Gd           2010    140000     34864
## 2281         1064         Gd           2010    132250     34864
## 2282         1632         Gd           2010    143000     34864
## 2283         1249         Ex           2010    168000     34864
## 2284         1040         Gd           2010    129900     34864
## 2285         1142         Gd           2010    134000     34864
## 2286          546         Gd           2010     85500     34864
## 2287          530         Gd           2010    106500     34864
## 2288          546         Gd           2010     93900     34864
## 2289          546         Gd           2010     75000     34864
## 2290          131         Gd           2010     84500     34864
## 2291          546         Gd           2010     75190     34864
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## 2293          923         Gd           2010    153500     34864
## 2294         1244         Gd           2010    188000     34864
## 2295         1160         TA           2010    196000     34864
## 2296          716         Gd           2010    157000     34864
## 2297          796         Gd           2010    138000     34864
## 2298          768         Ex           2010    129500     34864
## 2299         1396         Gd           2010     80000     34864
## 2300          845         Gd           2010    129500     34864
## 2301         1090         Gd           2010    135000     34864
## 2302          816         Gd           2010    124500     34864
## 2303          816         Gd           2010    139000     34864
## 2304          974         Gd           2010     93500     34864
## 2305          864         Gd           2010    124500     34864
## 2306          639         Gd           2010    149900     34864
## 2307         1008         Ex           2010    157500     34864
## 2308         1617         Gd           2010    169000     34864
## 2309         1705         Gd           2010    252000     22307
## 2310         1851         Ex           2010    192100     34864
## 2311          813         Gd           2010    183500     34864
## 2312          964         Gd           2010    222000     34864
## 2313          781         Gd           2010    170000     34864
## 2314          691         Gd           2010    187500     34864
## 2315          821         Gd           2010    202000     34864
## 2316          802         Gd           2010    185000     34864
## 2317         1392         Gd           2010    320000     34864
## 2318         1670         Gd           2010    240000     34864
## 2319         1074         Gd           2010    250000     34864
## 2320          893         Gd           2010    239900     34864
## 2321         1700         Gd           2010    309000     34864
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## 2323         2062         Gd           2010    270000     34864
## 2324         1160         Gd           2010    183500     34864
## 2325          697         Gd           2010    165600     34864
## 2326          935         Gd           2010    176500     34864
## 2327         1191         Gd           2010    130000     34864
## 2328          849         Ex           2010    239000     34864
## 2329         1742         Gd           2010    275000     34864
## 2330         1398         Ex           2010    457347     22307
## 2331         1528         Gd           2010    545224     22307
## 2332         1094         Gd           2010    356383     34864
## 2333         1992         Gd           2010    556581     22307
## 2334         1234         Gd           2010    361919     22307
## 2335         1850         Gd           2010    535000     22307
## 2336         1390         Gd           2010    401179     22307
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## 2338            0         Gd           2010    169000     23614
## 2339         1056         Gd           2010    145000     34864
## 2340         1714         Gd           2010    318000     34864
## 2341         1814         Gd           2010    319000     34864
## 2342         1910         Gd           2010    470000     22307
## 2343         1208         Gd           2010    202500     34864
## 2344         1002         Ex           2010    229000     34864
## 2345          795         Gd           2010    235000     34864
## 2346          796         Gd           2010    190000     34864
## 2347          988         Gd           2010    169000     34864
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## 2350          625         Ex           2010    207500     34864
## 2351          923         Gd           2010    250000     34864
## 2352          713         Gd           2010    179900     34864
## 2353         1047         Gd           2010    172000     34864
## 2354          960         Gd           2010    294323     34864
## 2355          675         Gd           2010    184500     34864
## 2356         1056         Gd           2010    153500     34864
## 2357          832         Gd           2010    162900     34864
## 2358          663         Gd           2010    181000     34864
## 2359         1103         Gd           2010    155000     34864
## 2360          305         Gd           2010    138800     34864
## 2361          864         Gd           2010    116050     34864
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## 2363          244         Gd           2010     97500     34864
## 2364         1487         Gd           2010    190000     34864
## 2365          525         Gd           2010    105500     34864
## 2366          765         Gd           2010    125500     34864
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## 2369          672         Gd           2010     91500     34864
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## 2382         1618         Gd           2010    252000     34864
## 2383         2076         Gd           2010    465000     22307
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## 2402         1058         Gd           2010    275000     22307
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## 2404         1364         Gd           2010    185850     34864
## 2405         1560         Gd           2010    282500     22307
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## 2408         1686         Gd           2010    332200     22307
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## 2412          728         Gd           2010    170440     34864
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## 2415          879         Gd           2010    219210     34864
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## 2423         1368         Gd           2010    246990     34864
## 2424         1375         Gd           2010    178740     34864
## 2425         1365         Gd           2010    225000     34864
## 2426         1248         Gd           2010    167240     34864
## 2427         1142         Gd           2010    156820     34864
## 2428         1362         Gd           2010    213490     34864
## 2429         1520         Gd           2010    264561     22307
## 2430         1356         Gd           2010    246578     34864
## 2431          732         Gd           2010    192140     34864
## 2432          783         Gd           2010    183200     34864
## 2433          707         Gd           2010    178000     34864
## 2434          848         Gd           2010    201490     34864
## 2435         1406         Gd           2010    230500     34864
## 2436          783         Gd           2010    180000     34864
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## 2438          982         Gd           2010    215000     34864
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## 2440          959         Gd           2010    173000     34864
## 2441         1035         Gd           2010    287602     34864
## 2442          975         Gd           2010    230000     34864
## 2443         1396         Gd           2010    348000     34864
## 2444         1044         Gd           2010    286000     34864
## 2445         1160         Gd           2010    300000     34864
## 2446         1930         Ex           2010    625000     34864
## 2447         1540         Gd           2010    405000     22307
## 2448         1086         Gd           2010    280000     34864
## 2449         1141         Gd           2010    258000     34864
## 2450         1342         Gd           2010    350000     34864
## 2451          340         Ex           2010    584500     22307
## 2452         1122         Gd           2010    321000     34864
## 2453         1165         Gd           2010    290000     34864
## 2454          247         Gd           2010    315000     34864
## 2455         1100         Gd           2010    252000     34864
## 2456         1670         Gd           2010    336820     34864
## 2457         2077         Gd           2010    423000     22307
## 2458         1660         Gd           2010    290000     34864
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## 2500         1288         Gd           2010    260000     34864
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## 2895         1686         Gd           2010    228000     34864
## 2896         1072         Gd           2010    176000     34864
## 2897         1309         Gd           2010    180000     34864
## 2898         1216         Gd           2010    250000     34864
## 2899         1265         Gd           2010    202000     34864
## 2900         1800         Gd           2010    312500     34864
## 2901         1728         Gd           2010    320000     34864
## 2902         1868         Gd           2010    369900     34864
## 2903         1838         Gd           2010    359900     22307
## 2904            0         TA           2010     81500     23614
## 2905         1288         Ex           2010    215000     34864
## 2906         1216         Gd           2010    164000     34864
## 2907         1237         Ex           2010    153500     34864
## 2908         1140         Gd           2010     84500     34864
## 2909          264         Gd           2010    104500     34864
## 2910          584         Gd           2010    127000     34864
## 2911          942         Gd           2010    151400     34864
## 2912          864         Gd           2010    126500     34864
## 2913         1652         Gd           2010    146500     34864
## 2914          630         Gd           2010     73000     34864
## 2915          546         Gd           2010     79400     34864
## 2916          760         Gd           2010    140000     34864
## 2917          630         Gd           2010     92000     22307
## 2918          546         Gd           2010     87550     34864
## 2919          546         Gd           2010     79500     34864
## 2920          546         Gd           2010     90500     34864
## 2921          546         Gd           2010     71000     34864
## 2922         1332         Gd           2010    150900     34864
## 2923         1728         Gd           2010    188000     34864
## 2924         1126         Gd           2010    160000     34864
## 2925         1224         Gd           2010    131000     34864
## 2926         1003         Gd           2010    142500     34864
## 2927          540         Gd           2010    131000     34864
## 2928          912         Gd           2010    132000     34864
## 2929         1266         Gd           2010    170000     34864
## 2930          996         Gd           2010    188000     34864

all.reno$cost_benefits[all.reno$cost_benefits$net >0 & all.reno$cost_benefits$remodeling_costs > 0,]

## # A tibble: 70 x 4
##    orig_predicted_sale_price new_predicted_sale_price remodeling_costs    net
##                        <dbl>                    <dbl>            <dbl>  <dbl>
##  1                   457301.                  486100.            22307  6493.
##  2                   309658.                  353779.            34864  9257.
##  3                   278280.                  325378.            34864 12234.
##  4                   104053.                  139344.            34864   427.
##  5                   110205.                  156893.            34864 11824.
##  6                   141214.                  180718.            34864  4641.
##  7                   340789.                  371265.            22307  8169.
##  8                   221787.                  257912.            34864  1262.
##  9                   309397.                  354439.            34864 10179.
## 10                   411154.                  445906.            22307 12445.
## # ... with 60 more rows

Some notes on recommended renovations: - In general, remodeling costs exceed marginal increases in sales price under our model (i.e., it’s not worth it). - Replacing the roof does not seem to be a good investment, as it does not result in predicted sales that justify the costs (because of the relatively small coefficient of the relevant predictors). - Realtors famously say the three most important factors in home purchasing are “location, location, and location”, which is not surprising based on these results. All of these renovations don’t change some of the underlying features of the neighborhood and site, which is why we see the value of renovations remaining pretty marginal.